41364325728 has 480 divisors, whose sum is σ = 139734346752. Its totient is φ = 11887948800.

The previous prime is 41364325669. The next prime is 41364325771. The reversal of 41364325728 is 82752346314.

41364325728 is a `hidden beast` number, since 4 + 1 + 36 + 43 + 2 + 572 + 8 = 666.

It is a super-2 number, since 2×41364325728² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46844775 + ... + 46845657.

Almost surely, 2^41364325728 is an apocalyptic number.

41364325728 is a gapful number since it is divisible by the number (48) 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 41364325728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69867173376).

41364325728 is an abundant number, since it is smaller than the sum of its proper divisors (98370021024).

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

41364325728 is a wasteful number, since it uses less digits than its factorization.

41364325728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 983 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 41364325728 in words is "forty-one billion, three hundred sixty-four million, three hundred twenty-five thousand, seven hundred twenty-eight".