41881447415808 has 3360 divisors, whose sum is σ = 175594513231872. Its totient is φ = 9631589990400.

The previous prime is 41881447415791. The next prime is 41881447415809. The reversal of 41881447415808 is 80851474418814.

It is a happy number.

41881447415808 is a `hidden beast` number, since 4 + 1 + 8 + 8 + 1 + 4 + 4 + 7 + 41 + 580 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41881447415809) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 370632277960 + ... + 370632278072.

Almost surely, 2^{41881447415808} is an apocalyptic number.

41881447415808 is a gapful number since it is divisible by the number (48) 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 41881447415808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87797256615936).

41881447415808 is an abundant number, since it is smaller than the sum of its proper divisors (133713065816064).

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

41881447415808 is a wasteful number, since it uses less digits than its factorization.

41881447415808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 36700160, while the sum is 63.

The spelling of 41881447415808 in words is "forty-one trillion, eight hundred eighty-one billion, four hundred forty-seven million, four hundred fifteen thousand, eight hundred eight".