41106589920 has 288 divisors, whose sum is σ = 159683457024. Its totient is φ = 9531878400.

The previous prime is 41106589861. The next prime is 41106589963. The reversal of 41106589920 is 2998560114.

41106589920 is a `hidden beast` number, since 41 + 1 + 0 + 6 + 589 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307905 + ... + 420735.

It is an arithmetic number, because the mean of its divisors is an integer number (554456448).

Almost surely, 2^41106589920 is an apocalyptic number.

41106589920 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 41106589920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79841728512).

41106589920 is an abundant number, since it is smaller than the sum of its proper divisors (118576867104).

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

41106589920 is a wasteful number, since it uses less digits than its factorization.

41106589920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112886 (or 112875 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 41106589920 in words is "forty-one billion, one hundred six million, five hundred eighty-nine thousand, nine hundred twenty".