40396765664025 has 45 divisors (see below), whose sum is σ = 74829304122573. Its totient is φ = 21544789147200.

The previous prime is 40396765663981. The next prime is 40396765664041. The reversal of 40396765664025 is 52046656769304.

The square root of 40396765664025 is 6355845.

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

40396765664025 is a `hidden beast` number, since 4 + 0 + 3 + 9 + 6 + 7 + 6 + 566 + 40 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4065816533769 + 36330949130256 = 2016387^2 + 6027516^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 40396765664025 - 2³⁷ = 40259326710553 is a prime.

It is a super-2 number, since 2×40396765664025² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 285942405 + ... + 286083645.

Almost surely, 2^{40396765664025} is an apocalyptic number.

40396765664025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40396765664025 is the 6355845-th square number.

40396765664025 is the 3177923-rd centered octagonal number.

It is an amenable number.

40396765664025 is a deficient number, since it is larger than the sum of its proper divisors (34432538458548).

40396765664025 is an frugal number, since it uses more digits than its factorization.

40396765664025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282504 (or 141249 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 63.

The spelling of 40396765664025 in words is "forty trillion, three hundred ninety-six billion, seven hundred sixty-five million, six hundred sixty-four thousand, twenty-five".