41561589888 has 1280 divisors, whose sum is σ = 165876480000. Its totient is φ = 10241925120.

The previous prime is 41561589863. The next prime is 41561589889. The reversal of 41561589888 is 88898516514.

41561589888 is a `hidden beast` number, since 4 + 1 + 5 + 615 + 8 + 9 + 8 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (22118400) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41561589889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1340696433 + ... + 1340696463.

It is an arithmetic number, because the mean of its divisors is an integer number (129591000).

Almost surely, 2^41561589888 is an apocalyptic number.

41561589888 is a gapful number since it is divisible by the number (48) 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 41561589888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82938240000).

41561589888 is an abundant number, since it is smaller than the sum of its proper divisors (124314890112).

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

41561589888 is a wasteful number, since it uses less digits than its factorization.

41561589888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 85 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 63.

The spelling of 41561589888 in words is "forty-one billion, five hundred sixty-one million, five hundred eighty-nine thousand, eight hundred eighty-eight".