41504119794432 has 720 divisors, whose sum is σ = 130674446622720. Its totient is φ = 13076740030464.

The previous prime is 41504119794427. The next prime is 41504119794451. The reversal of 41504119794432 is 23449791140514.

41504119794432 is a `hidden beast` number, since 4 + 1 + 5 + 0 + 4 + 1 + 197 + 9 + 443 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15446265793 + ... + 15446268479.

It is an arithmetic number, because the mean of its divisors is an integer number (181492286976).

Almost surely, 2^{41504119794432} 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 41504119794432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65337223311360).

41504119794432 is an abundant number, since it is smaller than the sum of its proper divisors (89170326828288).

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

41504119794432 is a wasteful number, since it uses less digits than its factorization.

41504119794432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3110 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 41504119794432 in words is "forty-one trillion, five hundred four billion, one hundred nineteen million, seven hundred ninety-four thousand, four hundred thirty-two".