41582604932352 has 1440 divisors, whose sum is σ = 145393271654400. Its totient is φ = 11681302118400.

The previous prime is 41582604932347. The next prime is 41582604932377. The reversal of 41582604932352 is 25323940628514.

41582604932352 is a `hidden beast` number, since 4 + 1 + 5 + 8 + 2 + 604 + 9 + 3 + 23 + 5 + 2 = 666.

It is a super-2 number, since 2×41582604932352² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 96479361577 + ... + 96479362007.

It is an arithmetic number, because the mean of its divisors is an integer number (100967549760).

Almost surely, 2^{41582604932352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41582604932352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72696635827200).

41582604932352 is an abundant number, since it is smaller than the sum of its proper divisors (103810666722048).

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

41582604932352 is a wasteful number, since it uses less digits than its factorization.

41582604932352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 41582604932352 in words is "forty-one trillion, five hundred eighty-two billion, six hundred four million, nine hundred thirty-two thousand, three hundred fifty-two".