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40425323203200 = 27352131092971751
BaseRepresentation
bin10010011000100010000010…
…00001111000101010000000
312022010121211021120101120010
421030101001001320222000
520244312030220000300
6221551045340344520
711341430123445345
oct1114210101705200
9168117737511503
1040425323203200
1111976313075881
12464a846b45140
1319731263a24c0
149da84b9187cc
154a184e87ba50
hex24c441078a80

40425323203200 has 384 divisors, whose sum is σ = 144708869289600. Its totient is φ = 9859553280000.

The previous prime is 40425323203183. The next prime is 40425323203271. The reversal of 40425323203200 is 230232352404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12117325 + ... + 15089075.

It is an arithmetic number, because the mean of its divisors is an integer number (376846013775).

Almost surely, 240425323203200 is an apocalyptic number.

40425323203200 is a gapful number since it is divisible by the number (40) 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 40425323203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72354434644800).

40425323203200 is an abundant number, since it is smaller than the sum of its proper divisors (104283546086400).

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

40425323203200 is a wasteful number, since it uses less digits than its factorization.

40425323203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971900 (or 2971883 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 40425323203200 its reverse (230232352404), we get a palindrome (40655555555604).

The spelling of 40425323203200 in words is "forty trillion, four hundred twenty-five billion, three hundred twenty-three million, two hundred three thousand, two hundred".