41586918912 has 560 divisors, whose sum is σ = 155430266112. Its totient is φ = 10794332160.

The previous prime is 41586918871. The next prime is 41586918917. The reversal of 41586918912 is 21981968514.

41586918912 is a `hidden beast` number, since 41 + 586 + 9 + 1 + 8 + 9 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41586918917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28739373 + ... + 28740819.

Almost surely, 2^41586918912 is an apocalyptic number.

41586918912 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 41586918912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77715133056).

41586918912 is an abundant number, since it is smaller than the sum of its proper divisors (113843347200).

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

41586918912 is an equidigital number, since it uses as much as digits as its factorization.

41586918912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1470 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 54.

The spelling of 41586918912 in words is "forty-one billion, five hundred eighty-six million, nine hundred eighteen thousand, nine hundred twelve".