10157414400 has 864 divisors, whose sum is σ = 43092241920. Its totient is φ = 2238382080.

The previous prime is 10157414389. The next prime is 10157414411. The reversal of 10157414400 is 441475101.

It is an interprime number because it is at equal distance from previous prime (10157414389) and next prime (10157414411).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 151603167 + ... + 151603233.

It is an arithmetic number, because the mean of its divisors is an integer number (49875280).

Almost surely, 2^10157414400 is an apocalyptic number.

10157414400 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 10157414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21546120960).

10157414400 is an abundant number, since it is smaller than the sum of its proper divisors (32934827520).

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

10157414400 is a wasteful number, since it uses less digits than its factorization.

10157414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 10157414400 its reverse (441475101), we get a palindrome (10598889501).

The spelling of 10157414400 in words is "ten billion, one hundred fifty-seven million, four hundred fourteen thousand, four hundred".