41375634432 has 264 divisors, whose sum is σ = 122839651200. Its totient is φ = 12370575360.

The previous prime is 41375634407. The next prime is 41375634479. The reversal of 41375634432 is 23443657314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29364544 + ... + 29365952.

Almost surely, 2^41375634432 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 41375634432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61419825600).

41375634432 is an abundant number, since it is smaller than the sum of its proper divisors (81464016768).

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

41375634432 is a wasteful number, since it uses less digits than its factorization.

41375634432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1504 counting only the distinct ones).

The product of its digits is 725760, while the sum is 42.

The spelling of 41375634432 in words is "forty-one billion, three hundred seventy-five million, six hundred thirty-four thousand, four hundred thirty-two".