41160472920 has 256 divisors, whose sum is σ = 165055104000. Its totient is φ = 8912913408.

The previous prime is 41160472891. The next prime is 41160472931. The reversal of 41160472920 is 2927406114.

It is a happy number.

41160472920 is a `hidden beast` number, since 4 + 1 + 1 + 604 + 7 + 29 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 364 + ... + 286916.

It is an arithmetic number, because the mean of its divisors is an integer number (644746500).

Almost surely, 2^41160472920 is an apocalyptic number.

41160472920 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 41160472920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82527552000).

41160472920 is an abundant number, since it is smaller than the sum of its proper divisors (123894631080).

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

41160472920 is a wasteful number, since it uses less digits than its factorization.

41160472920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286599 (or 286589 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 41160472920 in words is "forty-one billion, one hundred sixty million, four hundred seventy-two thousand, nine hundred twenty".