390640000144 has 15 divisors (see below), whose sum is σ = 756869844153. Its totient is φ = 195318750048.

The previous prime is 390640000103. The next prime is 390640000147. The reversal of 390640000144 is 441000046093.

The square root of 390640000144 is 625012.

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., 124992400 + 390515007744 = 11180^2 + 624912^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (390640000147) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2421922 + ... + 2578174.

Almost surely, 2^390640000144 is an apocalyptic number.

390640000144 is the 625012-nd square number.

It is an amenable number.

390640000144 is a deficient number, since it is larger than the sum of its proper divisors (366229844009).

390640000144 is an frugal number, since it uses more digits than its factorization.

390640000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312514 (or 156255 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 390640000144 in words is "three hundred ninety billion, six hundred forty million, one hundred forty-four", and thus it is an aban number.