390142872261 has 24 divisors (see below), whose sum is σ = 578820371064. Its totient is φ = 253043844480.

The previous prime is 390142872191. The next prime is 390142872263. The reversal of 390142872261 is 162278241093.

390142872261 is a `hidden beast` number, since 390 + 14 + 28 + 7 + 226 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3644416161 + 386498456100 = 60369^2 + 621690^2 .

It is not a de Polignac number, because 390142872261 - 2²¹ = 390140775109 is a prime.

It is a super-2 number, since 2×390142872261² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390142872263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4412095 + ... + 4499651.

It is an arithmetic number, because the mean of its divisors is an integer number (24117515461).

Almost surely, 2^390142872261 is an apocalyptic number.

It is an amenable number.

390142872261 is a deficient number, since it is larger than the sum of its proper divisors (188677498803).

390142872261 is a wasteful number, since it uses less digits than its factorization.

390142872261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100981 (or 100978 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 390142872261 in words is "three hundred ninety billion, one hundred forty-two million, eight hundred seventy-two thousand, two hundred sixty-one".