41649707520 has 400 divisors, whose sum is σ = 149861602440. Its totient is φ = 11055661056.

The previous prime is 41649707509. The next prime is 41649707537. The reversal of 41649707520 is 2570794614.

41649707520 is a `hidden beast` number, since 4 + 16 + 49 + 70 + 7 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24591257856 + 17058449664 = 156816^2 + 130608^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73197796 + ... + 73198364.

Almost surely, 2^41649707520 is an apocalyptic number.

41649707520 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 41649707520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74930801220).

41649707520 is an abundant number, since it is smaller than the sum of its proper divisors (108211894920).

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

41649707520 is an equidigital number, since it uses as much as digits as its factorization.

41649707520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 41649707520 in words is "forty-one billion, six hundred forty-nine million, seven hundred seven thousand, five hundred twenty".