390495010816 has 51 divisors (see below), whose sum is σ = 781304138533. Its totient is φ = 195167518720.

The previous prime is 390495010813. The next prime is 390495010847. The reversal of 390495010816 is 618010594093.

The square root of 390495010816 is 624896.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 37754044416 + 352740966400 = 194304^2 + 593920^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (390495010813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 159972156 + ... + 159974596.

Almost surely, 2^390495010816 is an apocalyptic number.

390495010816 is the 624896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390495010816

390495010816 is an abundant number, since it is smaller than the sum of its proper divisors (390809127717).

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

390495010816 is an frugal number, since it uses more digits than its factorization.

390495010816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4914 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The spelling of 390495010816 in words is "three hundred ninety billion, four hundred ninety-five million, ten thousand, eight hundred sixteen".