41881971456000 has 2688 divisors, whose sum is σ = 172122137853120. Its totient is φ = 10104569856000.

The previous prime is 41881971455923. The next prime is 41881971456011. The reversal of 41881971456000 is 65417918814.

41881971456000 is a `hidden beast` number, since 4 + 1 + 8 + 8 + 1 + 9 + 71 + 4 + 560 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 147992831859 + ... + 147992832141.

Almost surely, 2^{41881971456000} is an apocalyptic number.

41881971456000 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 41881971456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86061068926560).

41881971456000 is an abundant number, since it is smaller than the sum of its proper divisors (130240166397120).

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

41881971456000 is an equidigital number, since it uses as much as digits as its factorization.

41881971456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 41881971456000 in words is "forty-one trillion, eight hundred eighty-one billion, nine hundred seventy-one million, four hundred fifty-six thousand".