10129974400 has 384 divisors, whose sum is σ = 31554230400. Its totient is φ = 3127541760.

The previous prime is 10129974397. The next prime is 10129974401. The reversal of 10129974400 is 447992101.

It is a self number, because there is not a number n which added to its sum of digits gives 10129974400.

It is not an unprimeable number, because it can be changed into a prime (10129974401) 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, 12521196 + ... + 12522004.

It is an arithmetic number, because the mean of its divisors is an integer number (82172475).

Almost surely, 2^10129974400 is an apocalyptic number.

10129974400 is a gapful number since it is divisible by the number (10) 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 10129974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15777115200).

10129974400 is an abundant number, since it is smaller than the sum of its proper divisors (21424256000).

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

10129974400 is a wasteful number, since it uses less digits than its factorization.

10129974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 10129974400 in words is "ten billion, one hundred twenty-nine million, nine hundred seventy-four thousand, four hundred".