390487997081600 has 1728 divisors, whose sum is σ = 1155330304128000. Its totient is φ = 130356559872000.

The previous prime is 390487997081563. The next prime is 390487997081629. The reversal of 390487997081600 is 6180799784093.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 906004633385 + ... + 906004633815.

It is an arithmetic number, because the mean of its divisors is an integer number (668593926000).

Almost surely, 2^{390487997081600} 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 390487997081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577665152064000).

390487997081600 is an abundant number, since it is smaller than the sum of its proper divisors (764842307046400).

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

390487997081600 is a wasteful number, since it uses less digits than its factorization.

390487997081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 71.

The spelling of 390487997081600 in words is "three hundred ninety trillion, four hundred eighty-seven billion, nine hundred ninety-seven million, eighty-one thousand, six hundred".