10309874400 has 1080 divisors, whose sum is σ = 46551770496. Its totient is φ = 2206310400.

The previous prime is 10309874389. The next prime is 10309874401. The reversal of 10309874400 is 447890301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10309874401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 53978305 + ... + 53978495.

Almost surely, 2^10309874400 is an apocalyptic number.

10309874400 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 10309874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23275885248).

10309874400 is an abundant number, since it is smaller than the sum of its proper divisors (36241896096).

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

10309874400 is a wasteful number, since it uses less digits than its factorization.

10309874400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10309874400 in words is "ten billion, three hundred nine million, eight hundred seventy-four thousand, four hundred".