41532608409600 has 3744 divisors, whose sum is σ = 188126128046080. Its totient is φ = 7882997760000.

The previous prime is 41532608409583. The next prime is 41532608409637. The reversal of 41532608409600 is 690480623514.

It is a super-2 number, since 2×41532608409600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 41532608409600.

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 153256857465 + ... + 153256857735.

Almost surely, 2^{41532608409600} is an apocalyptic number.

41532608409600 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 41532608409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94063064023040).

41532608409600 is an abundant number, since it is smaller than the sum of its proper divisors (146593519636480).

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

41532608409600 is a wasteful number, since it uses less digits than its factorization.

41532608409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 41532608409600 in words is "forty-one trillion, five hundred thirty-two billion, six hundred eight million, four hundred nine thousand, six hundred".