390840532992 has 1440 divisors, whose sum is σ = 1547965507200. Its totient is φ = 96315899904.

The previous prime is 390840532949. The next prime is 390840532993. The reversal of 390840532992 is 299235048093.

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390840532993) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5353979868 + ... + 5353979940.

Almost surely, 2^390840532992 is an apocalyptic number.

390840532992 is a gapful number since it is divisible by the number (32) 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 390840532992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773982753600).

390840532992 is an abundant number, since it is smaller than the sum of its proper divisors (1157124974208).

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

390840532992 is a wasteful number, since it uses less digits than its factorization.

390840532992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 390840532992 in words is "three hundred ninety billion, eight hundred forty million, five hundred thirty-two thousand, nine hundred ninety-two".