10038974400 has 1008 divisors, whose sum is σ = 45124445184. Its totient is φ = 2060328960.

The previous prime is 10038974389. The next prime is 10038974471. The reversal of 10038974400 is 447983001.

It is a happy number.

10038974400 is a `hidden beast` number, since 100 + 3 + 89 + 74 + 400 = 666.

10038974400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61588719 + ... + 61588881.

Almost surely, 2^10038974400 is an apocalyptic number.

10038974400 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 10038974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22562222592).

10038974400 is an abundant number, since it is smaller than the sum of its proper divisors (35085470784).

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

10038974400 is a wasteful number, since it uses less digits than its factorization.

10038974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 240 counting only the distinct ones).

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

The spelling of 10038974400 in words is "ten billion, thirty-eight million, nine hundred seventy-four thousand, four hundred".