385407387904 has 324 divisors, whose sum is σ = 1015517282304. Its totient is φ = 145297152000.

The previous prime is 385407387881. The next prime is 385407387929. The reversal of 385407387904 is 409783704583.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47048449 + ... + 47056639.

Almost surely, 2^385407387904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385407387904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507758641152).

385407387904 is an abundant number, since it is smaller than the sum of its proper divisors (630109894400).

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

385407387904 is a wasteful number, since it uses less digits than its factorization.

385407387904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8274 (or 8242 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 58.

The spelling of 385407387904 in words is "three hundred eighty-five billion, four hundred seven million, three hundred eighty-seven thousand, nine hundred four".