10238576400 has 540 divisors, whose sum is σ = 40700744812. Its totient is φ = 2368880640.

The previous prime is 10238576399. The next prime is 10238576443. The reversal of 10238576400 is 467583201.

10238576400 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 8 + 5 + 7 + 640 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 4938153984 + 5300422416 = 70272^2 + 72804^2 .

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 (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13524822 + ... + 13525578.

Almost surely, 2^10238576400 is an apocalyptic number.

10238576400 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 10238576400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20350372406).

10238576400 is an abundant number, since it is smaller than the sum of its proper divisors (30462168412).

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

10238576400 is a wasteful number, since it uses less digits than its factorization.

10238576400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10238576400 in words is "ten billion, two hundred thirty-eight million, five hundred seventy-six thousand, four hundred".