390432890880 has 896 divisors, whose sum is σ = 1548547372800. Its totient is φ = 92748644352.

The previous prime is 390432890779. The next prime is 390432890923. The reversal of 390432890880 is 88098234093.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 357211614 + ... + 357212706.

Almost surely, 2^390432890880 is an apocalyptic number.

390432890880 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 390432890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774273686400).

390432890880 is an abundant number, since it is smaller than the sum of its proper divisors (1158114481920).

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

390432890880 is a wasteful number, since it uses less digits than its factorization.

390432890880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 390432890880 in words is "three hundred ninety billion, four hundred thirty-two million, eight hundred ninety thousand, eight hundred eighty".