41964007680 has 648 divisors, whose sum is σ = 178871703192. Its totient is φ = 9025486848.

The previous prime is 41964007643. The next prime is 41964007699. The reversal of 41964007680 is 8670046914.

It can be written as a sum of positive squares in 4 ways, for example, as 9891495936 + 32072511744 = 99456^2 + 179088^2 .

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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9593974 + ... + 9598346.

It is an arithmetic number, because the mean of its divisors is an integer number (276036579).

Almost surely, 2^41964007680 is an apocalyptic number.

41964007680 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 41964007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89435851596).

41964007680 is an abundant number, since it is smaller than the sum of its proper divisors (136907695512).

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

41964007680 is a wasteful number, since it uses less digits than its factorization.

41964007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4431 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 41964007680 in words is "forty-one billion, nine hundred sixty-four million, seven thousand, six hundred eighty".