41931620640 has 864 divisors, whose sum is σ = 189872832240. Its totient is φ = 8323596288.

The previous prime is 41931620611. The next prime is 41931620651. The reversal of 41931620640 is 4602613914.

41931620640 is a `hidden beast` number, since 4 + 1 + 9 + 3 + 1 + 6 + 2 + 0 + 640 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5476592016 + 36455028624 = 74004^2 + 190932^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 41931620595 and 41931620604.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 15592416 + ... + 15595104.

Almost surely, 2^41931620640 is an apocalyptic number.

41931620640 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 41931620640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94936416120).

41931620640 is an abundant number, since it is smaller than the sum of its proper divisors (147941211600).

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

41931620640 is a wasteful number, since it uses less digits than its factorization.

41931620640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 41931620640 in words is "forty-one billion, nine hundred thirty-one million, six hundred twenty thousand, six hundred forty".