41975393660964 has 81 divisors (see below), whose sum is σ = 106324144355793. Its totient is φ = 13962889293984.

The previous prime is 41975393660957. The next prime is 41975393660971. The reversal of 41975393660964 is 46906639357914.

The square root of 41975393660964 is 6478842.

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

41975393660964 is a `hidden beast` number, since 4 + 1 + 9 + 7 + 5 + 3 + 9 + 3 + 6 + 609 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (41975393660957) and next prime (41975393660971).

It can be written as a sum of positive squares in only one way, i.e., 5601467694564 + 36373925966400 = 2366742^2 + 6031080^2 .

It is a junction number, because it is equal to n+sod(n) for n = 41975393660892 and 41975393660901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27560993107 + ... + 27560994629.

Almost surely, 2^{41975393660964} is an apocalyptic number.

41975393660964 is the 6478842-nd square number.

It is an amenable number.

41975393660964 is an abundant number, since it is smaller than the sum of its proper divisors (64348750694829).

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

41975393660964 is an frugal number, since it uses more digits than its factorization.

41975393660964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4474 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 793618560, while the sum is 72.

The spelling of 41975393660964 in words is "forty-one trillion, nine hundred seventy-five billion, three hundred ninety-three million, six hundred sixty thousand, nine hundred sixty-four".