1640031125769 has 21 divisors (see below), whose sum is σ = 2458973681949. Its totient is φ = 1093331032380.

The previous prime is 1640031125729. The next prime is 1640031125773. The reversal of 1640031125769 is 9675211300461.

The square root of 1640031125769 is 1280637.

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

1640031125769 is a `hidden beast` number, since 1 + 6 + 40 + 0 + 31 + 1 + 2 + 576 + 9 = 666.

It is not a de Polignac number, because 1640031125769 - 2¹⁷ = 1640030994697 is a prime.

It is a super-2 number, since 2×1640031125769² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1640031125729) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 34553484 + ... + 34600914.

Almost surely, 2^{1640031125769} is an apocalyptic number.

1640031125769 is the 1280637-th square number.

1640031125769 is the 640319-th centered octagonal number.

It is an amenable number.

1640031125769 is a deficient number, since it is larger than the sum of its proper divisors (818942556180).

1640031125769 is an frugal number, since it uses more digits than its factorization.

1640031125769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94880 (or 47434 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1640031125769 in words is "one trillion, six hundred forty billion, thirty-one million, one hundred twenty-five thousand, seven hundred sixty-nine".