390495175616 has 896 divisors, whose sum is σ = 1120068311040. Its totient is φ = 130587033600.

The previous prime is 390495175517. The next prime is 390495175643. The reversal of 390495175616 is 616571594093.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 4704761111 + ... + 4704761193.

It is an arithmetic number, because the mean of its divisors is an integer number (1250076240).

Almost surely, 2^390495175616 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 390495175616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560034155520).

390495175616 is an abundant number, since it is smaller than the sum of its proper divisors (729573135424).

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

390495175616 is a wasteful number, since it uses less digits than its factorization.

390495175616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 56.

The spelling of 390495175616 in words is "three hundred ninety billion, four hundred ninety-five million, one hundred seventy-five thousand, six hundred sixteen".