1431940109769 has 81 divisors (see below), whose sum is σ = 2281555396341. Its totient is φ = 865024954560.

The previous prime is 1431940109729. The next prime is 1431940109777. The reversal of 1431940109769 is 9679010491341.

The square root of 1431940109769 is 1196637.

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

1431940109769 is a `hidden beast` number, since 1 + 431 + 9 + 40 + 109 + 7 + 69 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1006982145225 + 424957964544 = 1003485^2 + 651888^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1431940109769 is a prime.

It is a super-2 number, since 2×1431940109769² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1431940109729) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2846799172 + ... + 2846799674.

Almost surely, 2^{1431940109769} is an apocalyptic number.

1431940109769 is the 1196637-th square number.

1431940109769 is the 598319-th centered octagonal number.

It is an amenable number.

1431940109769 is a deficient number, since it is larger than the sum of its proper divisors (849615286572).

1431940109769 is an frugal number, since it uses more digits than its factorization.

1431940109769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 1431940109769 in words is "one trillion, four hundred thirty-one billion, nine hundred forty million, one hundred nine thousand, seven hundred sixty-nine".