9129256502400 has 672 divisors, whose sum is σ = 34009659397620. Its totient is φ = 2420289331200.

The previous prime is 9129256502371. The next prime is 9129256502407. The reversal of 9129256502400 is 42056529219.

9129256502400 is a `hidden beast` number, since 9 + 1 + 2 + 92 + 56 + 502 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7949287024704 + 1179969477696 = 2819448^2 + 1086264^2 .

It is a super-2 number, since 2×9129256502400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9129256502407) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 403563090 + ... + 403585710.

Almost surely, 2^{9129256502400} is an apocalyptic number.

9129256502400 is a gapful number since it is divisible by the number (90) 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 9129256502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17004829698810).

9129256502400 is an abundant number, since it is smaller than the sum of its proper divisors (24880402895220).

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

9129256502400 is a wasteful number, since it uses less digits than its factorization.

9129256502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22836 (or 22804 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 9129256502400 in words is "nine trillion, one hundred twenty-nine billion, two hundred fifty-six million, five hundred two thousand, four hundred".