41938977512961 has 81 divisors (see below), whose sum is σ = 66837457157731. Its totient is φ = 26309057266368.

The previous prime is 41938977512867. The next prime is 41938977512987. The reversal of 41938977512961 is 16921577983914.

The square root of 41938977512961 is 6476031.

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

41938977512961 is a `hidden beast` number, since 4 + 1 + 9 + 38 + 9 + 77 + 512 + 9 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32651453081025 + 9287524431936 = 5714145^2 + 3047544^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 41938977512961 - 2¹³ = 41938977504769 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 41938977512961.

It is not an unprimeable number, because it can be changed into a prime (41938977517961) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8917492336 + ... + 8917497038.

Almost surely, 2^{41938977512961} is an apocalyptic number.

41938977512961 is the 6476031-st square number.

41938977512961 is the 3238016-th centered octagonal number.

It is an amenable number.

41938977512961 is a deficient number, since it is larger than the sum of its proper divisors (24898479644770).

41938977512961 is an frugal number, since it uses more digits than its factorization.

41938977512961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9464 (or 4723 counting only the distinct ones).

The product of its digits is 205752960, while the sum is 72.

The spelling of 41938977512961 in words is "forty-one trillion, nine hundred thirty-eight billion, nine hundred seventy-seven million, five hundred twelve thousand, nine hundred sixty-one".