41865652224 has 240 divisors, whose sum is σ = 136423647360. Its totient is φ = 12686008320.

The previous prime is 41865652207. The next prime is 41865652253. The reversal of 41865652224 is 42225656814.

41865652224 is a `hidden beast` number, since 4 + 1 + 86 + 565 + 2 + 2 + 2 + 4 = 666.

It is a super-2 number, since 2×41865652224² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41865652224.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1813297 + ... + 1836239.

It is an arithmetic number, because the mean of its divisors is an integer number (568431864).

Almost surely, 2^41865652224 is an apocalyptic number.

41865652224 is a gapful number since it is divisible by the number (44) 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 41865652224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68211823680).

41865652224 is an abundant number, since it is smaller than the sum of its proper divisors (94557995136).

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

41865652224 is a wasteful number, since it uses less digits than its factorization.

41865652224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22988 (or 22959 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 41865652224 in words is "forty-one billion, eight hundred sixty-five million, six hundred fifty-two thousand, two hundred twenty-four".