41581149120 has 672 divisors, whose sum is σ = 173077632000. Its totient is φ = 9498166272.

The previous prime is 41581149119. The next prime is 41581149149. The reversal of 41581149120 is 2194118514.

41581149120 is a `hidden beast` number, since 4 + 158 + 11 + 491 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 26670901 + ... + 26672459.

It is an arithmetic number, because the mean of its divisors is an integer number (257556000).

Almost surely, 2^41581149120 is an apocalyptic number.

41581149120 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 41581149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86538816000).

41581149120 is an abundant number, since it is smaller than the sum of its proper divisors (131496482880).

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

41581149120 is an equidigital number, since it uses as much as digits as its factorization.

41581149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 41581149120 in words is "forty-one billion, five hundred eighty-one million, one hundred forty-nine thousand, one hundred twenty".