390061515744 has 144 divisors (see below), whose sum is σ = 1120074555600. Its totient is φ = 128751648768.

The previous prime is 390061515743. The next prime is 390061515761. The reversal of 390061515744 is 447515160093.

390061515744 is a `hidden beast` number, since 3 + 9 + 0 + 0 + 61 + 515 + 74 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 390061515744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390061515743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83468992 + ... + 83473664.

It is an arithmetic number, because the mean of its divisors is an integer number (7778295525).

Almost surely, 2^390061515744 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 390061515744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560037277800).

390061515744 is an abundant number, since it is smaller than the sum of its proper divisors (730013039856).

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

390061515744 is a wasteful number, since it uses less digits than its factorization.

390061515744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7457 (or 7446 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 390061515744 in words is "three hundred ninety billion, sixty-one million, five hundred fifteen thousand, seven hundred forty-four".