41881362432 has 448 divisors, whose sum is σ = 140156696064. Its totient is φ = 10829168640.

The previous prime is 41881362409. The next prime is 41881362433. The reversal of 41881362432 is 23426318814.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41881362433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136421223 + ... + 136421529.

It is an arithmetic number, because the mean of its divisors is an integer number (312849768).

Almost surely, 2^41881362432 is an apocalyptic number.

41881362432 is a gapful number since it is divisible by the number (42) 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 41881362432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70078348032).

41881362432 is an abundant number, since it is smaller than the sum of its proper divisors (98275333632).

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

41881362432 is a wasteful number, since it uses less digits than its factorization.

41881362432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 393 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The spelling of 41881362432 in words is "forty-one billion, eight hundred eighty-one million, three hundred sixty-two thousand, four hundred thirty-two".