41696712144 has 320 divisors, whose sum is σ = 127911813120. Its totient is φ = 13139356032.

The previous prime is 41696712133. The next prime is 41696712149. The reversal of 41696712144 is 44121769614.

41696712144 is a `hidden beast` number, since 416 + 96 + 7 + 1 + 2 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 41696712144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41696712149) 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 63 ways as a sum of consecutive naturals, for example, 82895797 + ... + 82896299.

It is an arithmetic number, because the mean of its divisors is an integer number (399724416).

Almost surely, 2^41696712144 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 41696712144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63955906560).

41696712144 is an abundant number, since it is smaller than the sum of its proper divisors (86215100976).

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

41696712144 is a wasteful number, since it uses less digits than its factorization.

41696712144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 634 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 41696712144 in words is "forty-one billion, six hundred ninety-six million, seven hundred twelve thousand, one hundred forty-four".