390640783104 has 1728 divisors, whose sum is σ = 1510192230400. Its totient is φ = 98537472000.

The previous prime is 390640783103. The next prime is 390640783121. The reversal of 390640783104 is 401387046093.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a self number, because there is not a number n which added to its sum of digits gives 390640783104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390640783103) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6403947234 + ... + 6403947294.

Almost surely, 2^390640783104 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 390640783104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755096115200).

390640783104 is an abundant number, since it is smaller than the sum of its proper divisors (1119551447296).

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

390640783104 is a wasteful number, since it uses less digits than its factorization.

390640783104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 390640783104 in words is "three hundred ninety billion, six hundred forty million, seven hundred eighty-three thousand, one hundred four".