407857113000 has 160 divisors (see below), whose sum is σ = 1425687480360. Its totient is φ = 108761875200.

The previous prime is 407857112959. The next prime is 407857113007. The reversal of 407857113000 is 311758704.

407857113000 is a `hidden beast` number, since 4 + 0 + 78 + 571 + 13 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 228577697604 + 179279415396 = 478098^2 + 423414^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (407857113007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2436637 + ... + 2598636.

Almost surely, 2^407857113000 is an apocalyptic number.

407857113000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407857113000 is an abundant number, since it is smaller than the sum of its proper divisors (1017830367360).

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

407857113000 is a wasteful number, since it uses less digits than its factorization.

407857113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5035306 (or 5035283 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 407857113000 in words is "four hundred seven billion, eight hundred fifty-seven million, one hundred thirteen thousand".