857513040400 has 45 divisors (see below), whose sum is σ = 2060219575783. Its totient is φ = 342997808000.

The previous prime is 857513040353. The next prime is 857513040443. The reversal of 857513040400 is 4040315758.

The square root of 857513040400 is 926020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 91986037264 + 765527003136 = 303292^2 + 874944^2 .

It is a super-2 number, since 2×857513040400² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 857513040400.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18497250 + ... + 18543550.

Almost surely, 2^857513040400 is an apocalyptic number.

857513040400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

857513040400 is the 926020-th square number.

It is an amenable number.

857513040400 is an abundant number, since it is smaller than the sum of its proper divisors (1202706535383).

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

857513040400 is an frugal number, since it uses more digits than its factorization.

857513040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92620 (or 46308 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The spelling of 857513040400 in words is "eight hundred fifty-seven billion, five hundred thirteen million, forty thousand, four hundred".