41329474560 has 352 divisors, whose sum is σ = 160235884800. Its totient is φ = 10018897920.

The previous prime is 41329474541. The next prime is 41329474573. The reversal of 41329474560 is 6547492314.

41329474560 is a `hidden beast` number, since 4 + 13 + 2 + 9 + 4 + 74 + 560 = 666.

41329474560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1507051 + ... + 1534229.

Almost surely, 2^41329474560 is an apocalyptic number.

41329474560 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 41329474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80117942400).

41329474560 is an abundant number, since it is smaller than the sum of its proper divisors (118906410240).

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

41329474560 is a wasteful number, since it uses less digits than its factorization.

41329474560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27224 (or 27200 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 41329474560 in words is "forty-one billion, three hundred twenty-nine million, four hundred seventy-four thousand, five hundred sixty".