41250972672 has 528 divisors, whose sum is σ = 148353983232. Its totient is φ = 10749542400.

The previous prime is 41250972671. The next prime is 41250972703. The reversal of 41250972672 is 27627905214.

41250972672 is a `hidden beast` number, since 4 + 1 + 2 + 509 + 72 + 6 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (41250972671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84704013 + ... + 84704499.

Almost surely, 2^41250972672 is an apocalyptic number.

41250972672 is a gapful number since it is divisible by the number (42) 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 41250972672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74176991616).

41250972672 is an abundant number, since it is smaller than the sum of its proper divisors (107103010560).

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

41250972672 is a wasteful number, since it uses less digits than its factorization.

41250972672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 41250972672 in words is "forty-one billion, two hundred fifty million, nine hundred seventy-two thousand, six hundred seventy-two".