10457402382400 has 84 divisors (see below), whose sum is σ = 26850517385472. Its totient is φ = 4001093071360.

The previous prime is 10457402382281. The next prime is 10457402382407. The reversal of 10457402382400 is 428320475401.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (10457402382407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142047472 + ... + 142121071.

Almost surely, 2^{10457402382400} is an apocalyptic number.

10457402382400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10457402382400 is an abundant number, since it is smaller than the sum of its proper divisors (16393115003072).

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

10457402382400 is a wasteful number, since it uses less digits than its factorization.

10457402382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284168588 (or 284168573 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 10457402382400 in words is "ten trillion, four hundred fifty-seven billion, four hundred two million, three hundred eighty-two thousand, four hundred".