392027506641 has 45 divisors (see below), whose sum is σ = 594377130369. Its totient is φ = 257501026944.

The previous prime is 392027506627. The next prime is 392027506679. The reversal of 392027506641 is 146605720293.

The square root of 392027506641 is 626121.

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

It can be written as a sum of positive squares in 4 ways, for example, as 101425041 + 391926081600 = 10071^2 + 626040^2 .

It is not a de Polignac number, because 392027506641 - 2¹¹ = 392027504593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (392027506681) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 411361021 + ... + 411361973.

Almost surely, 2^392027506641 is an apocalyptic number.

392027506641 is the 626121-st square number.

392027506641 is the 313061-st centered octagonal number.

It is an amenable number.

392027506641 is a deficient number, since it is larger than the sum of its proper divisors (202349623728).

392027506641 is an frugal number, since it uses more digits than its factorization.

392027506641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 392027506641 in words is "three hundred ninety-two billion, twenty-seven million, five hundred six thousand, six hundred forty-one".