390515096934144 has 720 divisors, whose sum is σ = 1479394821273600. Its totient is φ = 99670623068160.

The previous prime is 390515096934101. The next prime is 390515096934163. The reversal of 390515096934144 is 441439690515093.

It is a happy number.

390515096934144 is a `hidden beast` number, since 3 + 9 + 0 + 5 + 150 + 9 + 69 + 3 + 414 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55158307 + ... + 61834205.

Almost surely, 2^{390515096934144} 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 390515096934144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739697410636800).

390515096934144 is an abundant number, since it is smaller than the sum of its proper divisors (1088879724339456).

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

390515096934144 is a wasteful number, since it uses less digits than its factorization.

390515096934144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6675978 (or 6675955 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 390515096934144 in words is "three hundred ninety trillion, five hundred fifteen billion, ninety-six million, nine hundred thirty-four thousand, one hundred forty-four".