41812990560 has 960 divisors, whose sum is σ = 173561439744. Its totient is φ = 9405849600.

The previous prime is 41812990529. The next prime is 41812990561. The reversal of 41812990560 is 6509921814.

41812990560 is a `hidden beast` number, since 4 + 1 + 81 + 2 + 9 + 9 + 0 + 560 = 666.

It is a super-2 number, since 2×41812990560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41812990561) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 588915325 + ... + 588915395.

Almost surely, 2^41812990560 is an apocalyptic number.

41812990560 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 41812990560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86780719872).

41812990560 is an abundant number, since it is smaller than the sum of its proper divisors (131748449184).

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

41812990560 is an equidigital number, since it uses as much as digits as its factorization.

41812990560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 41812990560 in words is "forty-one billion, eight hundred twelve million, nine hundred ninety thousand, five hundred sixty".