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400062424416 = 25343197491951
BaseRepresentation
bin1011101001001011001…
…01000010010101100000
31102020122001000212012020
411310211211002111200
523023311440040131
6503441450101440
740621630333254
oct5644545022540
91366561025166
10400062424416
11144735899826
126565011a880
132b958556975
14155125b2264
15a617129996
hex5d25942560

400062424416 has 96 divisors (see below), whose sum is σ = 1080043227648. Its totient is φ = 129591436800.

The previous prime is 400062424367. The next prime is 400062424417. The reversal of 400062424416 is 614424260004.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400062424417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 567241 + ... + 1059191.

It is an arithmetic number, because the mean of its divisors is an integer number (11250450288).

Almost surely, 2400062424416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400062424416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540021613824).

400062424416 is an abundant number, since it is smaller than the sum of its proper divisors (679980803232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400062424416 is a wasteful number, since it uses less digits than its factorization.

400062424416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492204 (or 492196 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 400062424416 in words is "four hundred billion, sixty-two million, four hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 197 258 344 394 516 591 688 788 1032 1182 1376 1576 2064 2364 3152 4128 4728 6304 8471 9456 16942 18912 25413 33884 50826 67768 101652 135536 203304 271072 406608 491951 813216 983902 1475853 1967804 2951706 3935608 5903412 7871216 11806824 15742432 21153893 23613648 42307786 47227296 63461679 84615572 96914347 126923358 169231144 193828694 253846716 290743041 338462288 387657388 507693432 581486082 676924576 775314776 1015386864 1162972164 1550629552 2030773728 2325944328 3101259104 4167316921 4651888656 8334633842 9303777312 12501950763 16669267684 25003901526 33338535368 50007803052 66677070736 100015606104 133354141472 200031212208 400062424416