390141480960 has 2496 divisors, whose sum is σ = 1882488384000. Its totient is φ = 76299632640.

The previous prime is 390141480959. The next prime is 390141480979. The reversal of 390141480960 is 69084141093.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22949498872 + ... + 22949498888.

Almost surely, 2^390141480960 is an apocalyptic number.

390141480960 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 390141480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941244192000).

390141480960 is an abundant number, since it is smaller than the sum of its proper divisors (1492346903040).

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

390141480960 is a wasteful number, since it uses less digits than its factorization.

390141480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 390141480960 in words is "three hundred ninety billion, one hundred forty-one million, four hundred eighty thousand, nine hundred sixty".