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400422242376 = 2332132322981223
BaseRepresentation
bin1011101001110110000…
…01101000100001001000
31102021120010002111122100
411310323001220201020
523030031043224001
6503541302153400
740633556621232
oct5647301504110
91367503074570
10400422242376
111448aaa0a342
1265730722860
132b9b4c698c0
14155482b7252
15a638a02586
hex5d3b068848

400422242376 has 192 divisors, whose sum is σ = 1224013190400. Its totient is φ = 117333950976.

The previous prime is 400422242369. The next prime is 400422242377. The reversal of 400422242376 is 673242224004.

400422242376 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 222 + 423 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 400422242376.

It is not an unprimeable number, because it can be changed into a prime (400422242377) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4889301 + ... + 4970523.

It is an arithmetic number, because the mean of its divisors is an integer number (6375068700).

Almost surely, 2400422242376 is an apocalyptic number.

400422242376 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400422242376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612006595200).

400422242376 is an abundant number, since it is smaller than the sum of its proper divisors (823590948024).

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

400422242376 is a wasteful number, since it uses less digits than its factorization.

400422242376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81500 (or 81493 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The spelling of 400422242376 in words is "four hundred billion, four hundred twenty-two million, two hundred forty-two thousand, three hundred seventy-six".