10157144400 has 180 divisors, whose sum is σ = 37959680668. Its totient is φ = 2500208640.

The previous prime is 10157144357. The next prime is 10157144401. The reversal of 10157144400 is 444175101.

10157144400 is a `hidden beast` number, since 10 + 1 + 571 + 44 + 40 + 0 = 666.

10157144400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3447568656 + 6709575744 = 58716^2 + 81912^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10157144401) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 61717 + ... + 155316.

Almost surely, 2^10157144400 is an apocalyptic number.

10157144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10157144400 is an abundant number, since it is smaller than the sum of its proper divisors (27802536268).

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

10157144400 is a wasteful number, since it uses less digits than its factorization.

10157144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217070 (or 217056 counting only the distinct ones).

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

The spelling of 10157144400 in words is "ten billion, one hundred fifty-seven million, one hundred forty-four thousand, four hundred".