41109876080 has 320 divisors, whose sum is σ = 120862264320. Its totient is φ = 12659023872.

The previous prime is 41109876077. The next prime is 41109876103. The reversal of 41109876080 is 8067890114.

41109876080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41109876080² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43410167 + ... + 43411113.

It is an arithmetic number, because the mean of its divisors is an integer number (377694576).

Almost surely, 2^41109876080 is an apocalyptic number.

41109876080 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 41109876080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60431132160).

41109876080 is an abundant number, since it is smaller than the sum of its proper divisors (79752388240).

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

41109876080 is a wasteful number, since it uses less digits than its factorization.

41109876080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 44.

The spelling of 41109876080 in words is "forty-one billion, one hundred nine million, eight hundred seventy-six thousand, eighty".