390268128960 has 336 divisors, whose sum is σ = 1474450248960. Its totient is φ = 94307051520.

The previous prime is 390268128947. The next prime is 390268128961. The reversal of 390268128960 is 69821862093.

It is a junction number, because it is equal to n+sod(n) for n = 390268128897 and 390268128906.

It is not an unprimeable number, because it can be changed into a prime (390268128961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1103515 + ... + 1413605.

Almost surely, 2^390268128960 is an apocalyptic number.

390268128960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390268128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737225124480).

390268128960 is an abundant number, since it is smaller than the sum of its proper divisors (1084182120000).

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

390268128960 is a wasteful number, since it uses less digits than its factorization.

390268128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310156 (or 310143 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 390268128960 in words is "three hundred ninety billion, two hundred sixty-eight million, one hundred twenty-eight thousand, nine hundred sixty".