390450342976512 has 704 divisors, whose sum is σ = 1336969398288384. Its totient is φ = 98467173826560.

The previous prime is 390450342976483. The next prime is 390450342976531. The reversal of 390450342976512 is 215679243054093.

It is a happy number.

It is a super-2 number, since 2×390450342976512² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 25146533293 + ... + 25146548819.

Almost surely, 2^{390450342976512} is an apocalyptic number.

390450342976512 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 390450342976512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668484699144192).

390450342976512 is an abundant number, since it is smaller than the sum of its proper divisors (946519055311872).

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

390450342976512 is a wasteful number, since it uses less digits than its factorization.

390450342976512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19504 (or 19486 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 60.

The spelling of 390450342976512 in words is "three hundred ninety trillion, four hundred fifty billion, three hundred forty-two million, nine hundred seventy-six thousand, five hundred twelve".