41004843264 has 864 divisors, whose sum is σ = 154967904000. Its totient is φ = 10332241920.

The previous prime is 41004843239. The next prime is 41004843343. The reversal of 41004843264 is 46234840014.

It is a super-2 number, since 2×41004843264² (a number of 22 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 460728532 + ... + 460728620.

It is an arithmetic number, because the mean of its divisors is an integer number (179361000).

Almost surely, 2^41004843264 is an apocalyptic number.

41004843264 is a gapful number since it is divisible by the number (44) 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 41004843264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77483952000).

41004843264 is an abundant number, since it is smaller than the sum of its proper divisors (113963060736).

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

41004843264 is a wasteful number, since it uses less digits than its factorization.

41004843264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 41004843264 in words is "forty-one billion, four million, eight hundred forty-three thousand, two hundred sixty-four".