714737664400041 has 12 divisors (see below), whose sum is σ = 1034851102380420. Its totient is φ = 475359966819360.

The previous prime is 714737664400033. The next prime is 714737664400073. The reversal of 714737664400041 is 140004466737417.

714737664400041 is a `hidden beast` number, since 7 + 1 + 4 + 73 + 76 + 64 + 400 + 0 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 204798166614441 + 509939497785600 = 14310771^2 + 22581840^2 .

It is not a de Polignac number, because 714737664400041 - 2³ = 714737664400033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (714737664400021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94317449946 + ... + 94317457523.

It is an arithmetic number, because the mean of its divisors is an integer number (86237591865035).

Almost surely, 2^{714737664400041} is an apocalyptic number.

It is an amenable number.

714737664400041 is a deficient number, since it is larger than the sum of its proper divisors (320113437980379).

714737664400041 is a wasteful number, since it uses less digits than its factorization.

714737664400041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188634907896 (or 188634907893 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 714737664400041 in words is "seven hundred fourteen trillion, seven hundred thirty-seven billion, six hundred sixty-four million, four hundred thousand, forty-one".