41972307644736 has 448 divisors, whose sum is σ = 141350196303360. Its totient is φ = 11963882373120.

The previous prime is 41972307644711. The next prime is 41972307644753. The reversal of 41972307644736 is 63744670327914.

41972307644736 is a `hidden beast` number, since 4 + 1 + 9 + 72 + 30 + 7 + 64 + 473 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 12127218046 + ... + 12127221506.

Almost surely, 2^{41972307644736} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41972307644736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70675098151680).

41972307644736 is an abundant number, since it is smaller than the sum of its proper divisors (99377888658624).

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

41972307644736 is a wasteful number, since it uses less digits than its factorization.

41972307644736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5559 (or 5543 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 63.

The spelling of 41972307644736 in words is "forty-one trillion, nine hundred seventy-two billion, three hundred seven million, six hundred forty-four thousand, seven hundred thirty-six".