10140757200 has 480 divisors, whose sum is σ = 42590289920. Its totient is φ = 2242598400.

The previous prime is 10140757189. The next prime is 10140757213. The reversal of 10140757200 is 275704101.

10140757200 is a `hidden beast` number, since 1 + 0 + 1 + 407 + 57 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2341437 + ... + 2345763.

Almost surely, 2^10140757200 is an apocalyptic number.

10140757200 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 10140757200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21295144960).

10140757200 is an abundant number, since it is smaller than the sum of its proper divisors (32449532720).

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

10140757200 is a wasteful number, since it uses less digits than its factorization.

10140757200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4392 (or 4375 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The spelling of 10140757200 in words is "ten billion, one hundred forty million, seven hundred fifty-seven thousand, two hundred".