41968725876000 has 2304 divisors, whose sum is σ = 200464782336000. Its totient is φ = 8053613568000.

The previous prime is 41968725875891. The next prime is 41968725876019. The reversal of 41968725876000 is 67852786914.

41968725876000 is a `hidden beast` number, since 4 + 19 + 6 + 8 + 7 + 2 + 5 + 8 + 7 + 600 + 0 = 666.

It is a super-2 number, since 2×41968725876000² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1848912651 + ... + 1848935349.

It is an arithmetic number, because the mean of its divisors is an integer number (87007284000).

Almost surely, 2^{41968725876000} is an apocalyptic number.

41968725876000 is a gapful number since it is divisible by the number (40) 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 41968725876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100232391168000).

41968725876000 is an abundant number, since it is smaller than the sum of its proper divisors (158496056460000).

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

41968725876000 is a wasteful number, since it uses less digits than its factorization.

41968725876000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22800 (or 22779 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 41968725876000 in words is "forty-one trillion, nine hundred sixty-eight billion, seven hundred twenty-five million, eight hundred seventy-six thousand".