41165521920 has 616 divisors, whose sum is σ = 152230722840. Its totient is φ = 10669916160.

The previous prime is 41165521909. The next prime is 41165521993. The reversal of 41165521920 is 2912556114.

41165521920 is a `hidden beast` number, since 4 + 1 + 16 + 552 + 1 + 92 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2018525184 + 39146996736 = 44928^2 + 197856^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 153031546 + ... + 153031814.

Almost surely, 2^41165521920 is an apocalyptic number.

41165521920 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 41165521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76115361420).

41165521920 is an abundant number, since it is smaller than the sum of its proper divisors (111065200920).

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

41165521920 is an equidigital number, since it uses as much as digits as its factorization.

41165521920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 41165521920 in words is "forty-one billion, one hundred sixty-five million, five hundred twenty-one thousand, nine hundred twenty".