390269128704 has 624 divisors, whose sum is σ = 1323389333952. Its totient is φ = 101369511936.

The previous prime is 390269128703. The next prime is 390269128783. The reversal of 390269128704 is 407821962093.

It is a tau number, because it is divible by the number of its divisors (624).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390269128703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 571403947 + ... + 571404629.

Almost surely, 2^390269128704 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 390269128704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661694666976).

390269128704 is an abundant number, since it is smaller than the sum of its proper divisors (933120205248).

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

390269128704 is a wasteful number, since it uses less digits than its factorization.

390269128704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 390269128704 in words is "three hundred ninety billion, two hundred sixty-nine million, one hundred twenty-eight thousand, seven hundred four".