41955836832 has 576 divisors, whose sum is σ = 154066348800. Its totient is φ = 10754021376.

The previous prime is 41955836831. The next prime is 41955836863. The reversal of 41955836832 is 23863855914.

41955836832 is a `hidden beast` number, since 4 + 1 + 9 + 558 + 3 + 6 + 83 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (41955836831) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47514663 + ... + 47515545.

It is an arithmetic number, because the mean of its divisors is an integer number (267476300).

Almost surely, 2^41955836832 is an apocalyptic number.

41955836832 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 41955836832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77033174400).

41955836832 is an abundant number, since it is smaller than the sum of its proper divisors (112110511968).

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

41955836832 is a wasteful number, since it uses less digits than its factorization.

41955836832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 945 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 41955836832 in words is "forty-one billion, nine hundred fifty-five million, eight hundred thirty-six thousand, eight hundred thirty-two".