541972632718944 has 720 divisors, whose sum is σ = 1914426378095616. Its totient is φ = 149818527936000.

The previous prime is 541972632718931. The next prime is 541972632718949. The reversal of 541972632718944 is 449817236279145.

541972632718944 is a `hidden beast` number, since 5 + 4 + 1 + 9 + 7 + 263 + 271 + 8 + 94 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541972632718949) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19493300947 + ... + 19493328749.

Almost surely, 2^{541972632718944} is an apocalyptic number.

541972632718944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541972632718944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957213189047808).

541972632718944 is an abundant number, since it is smaller than the sum of its proper divisors (1372453745376672).

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

541972632718944 is a wasteful number, since it uses less digits than its factorization.

541972632718944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32821 (or 32797 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 541972632718944 in words is "five hundred forty-one trillion, nine hundred seventy-two billion, six hundred thirty-two million, seven hundred eighteen thousand, nine hundred forty-four".