385840357416 has 64 divisors (see below), whose sum is σ = 1100745787200. Its totient is φ = 125137410624.

The previous prime is 385840357369. The next prime is 385840357471. The reversal of 385840357416 is 614753048583.

385840357416 is a `hidden beast` number, since 3 + 8 + 58 + 4 + 0 + 3 + 574 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24131170 + ... + 24147153.

It is an arithmetic number, because the mean of its divisors is an integer number (17199152925).

Almost surely, 2^385840357416 is an apocalyptic number.

385840357416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

385840357416 is an abundant number, since it is smaller than the sum of its proper divisors (714905429784).

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

385840357416 is a wasteful number, since it uses less digits than its factorization.

385840357416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48278375 (or 48278365 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 385840357416 in words is "three hundred eighty-five billion, eight hundred forty million, three hundred fifty-seven thousand, four hundred sixteen".