40206277268964 has 117 divisors (see below), whose sum is σ = 105565685185177. Its totient is φ = 13399010773776.

The previous prime is 40206277268917. The next prime is 40206277268981. The reversal of 40206277268964 is 46986277260204.

The square root of 40206277268964 is 6340842.

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

40206277268964 is a `hidden beast` number, since 4 + 0 + 206 + 277 + 26 + 89 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 900900908964 + 39305376360000 = 949158^2 + 6269400^2 .

It is a super-2 number, since 2×40206277268964² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 9244945462 + ... + 9244949810.

Almost surely, 2^{40206277268964} is an apocalyptic number.

40206277268964 is the 6340842-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40206277268964

40206277268964 is an abundant number, since it is smaller than the sum of its proper divisors (65359407916213).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40206277268964 is an frugal number, since it uses more digits than its factorization.

40206277268964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8738 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 40206277268964 in words is "forty trillion, two hundred six billion, two hundred seventy-seven million, two hundred sixty-eight thousand, nine hundred sixty-four".