41124464640 has 672 divisors, whose sum is σ = 169293983040. Its totient is φ = 9387933696.

The previous prime is 41124464639. The next prime is 41124464687. The reversal of 41124464640 is 4646442114.

41124464640 is a `hidden beast` number, since 4 + 1 + 1 + 2 + 4 + 4 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×41124464640² (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 a junction number, because it is equal to n+sod(n) for n = 41124464595 and 41124464604.

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, 52254327 + ... + 52255113.

It is an arithmetic number, because the mean of its divisors is an integer number (251925570).

Almost surely, 2^41124464640 is an apocalyptic number.

41124464640 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 41124464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84646991520).

41124464640 is an abundant number, since it is smaller than the sum of its proper divisors (128169518400).

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

41124464640 is an frugal number, since it uses more digits than its factorization.

41124464640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 804 counting only the distinct ones).

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

The spelling of 41124464640 in words is "forty-one billion, one hundred twenty-four million, four hundred sixty-four thousand, six hundred forty".