40307566182976 has 63 divisors (see below), whose sum is σ = 80227442288889. Its totient is φ = 20092961357568.

The previous prime is 40307566182971. The next prime is 40307566182979. The reversal of 40307566182976 is 67928166570304.

The square root of 40307566182976 is 6348824.

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

It can be written as a sum of positive squares in only one way, i.e., 27012966760000 + 13294599422976 = 5197400^2 + 3646176^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40307566182971) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20163864025 + ... + 20163866023.

It is an arithmetic number, because the mean of its divisors is an integer number (1273451464903).

It is a 1-persistent number, because it is pandigital, but 2⋅40307566182976 = 80615132365952 is not.

Almost surely, 2^{40307566182976} is an apocalyptic number.

40307566182976 is the 6348824-th square number.

It is an amenable number.

40307566182976 is a deficient number, since it is larger than the sum of its proper divisors (39919876105913).

40307566182976 is an frugal number, since it uses more digits than its factorization.

40307566182976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4804 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 64.

40307566182976 divided by its sum of digits (64) gives a square (629805721609 = 793603²).

The spelling of 40307566182976 in words is "forty trillion, three hundred seven billion, five hundred sixty-six million, one hundred eighty-two thousand, nine hundred seventy-six".