41132480832 has 448 divisors, whose sum is σ = 135097113600. Its totient is φ = 12210831360.

The previous prime is 41132480821. The next prime is 41132480941. The reversal of 41132480832 is 23808423114.

It is a happy number.

41132480832 is a `hidden beast` number, since 41 + 132 + 480 + 8 + 3 + 2 = 666.

41132480832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45150457 + ... + 45151367.

Almost surely, 2^41132480832 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 41132480832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67548556800).

41132480832 is an abundant number, since it is smaller than the sum of its proper divisors (93964632768).

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

41132480832 is a wasteful number, since it uses less digits than its factorization.

41132480832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 41132480832 in words is "forty-one billion, one hundred thirty-two million, four hundred eighty thousand, eight hundred thirty-two".