41114456288 has 96 divisors (see below), whose sum is σ = 91975564800. Its totient is φ = 17985977856.

The previous prime is 41114456281. The next prime is 41114456309. The reversal of 41114456288 is 88265441114.

It is a Cunningham number, because it is equal to 202767²-1.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41114456281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354845 + ... + 456227.

It is an arithmetic number, because the mean of its divisors is an integer number (958078800).

Almost surely, 2^41114456288 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 41114456288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45987782400).

41114456288 is an abundant number, since it is smaller than the sum of its proper divisors (50861108512).

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

41114456288 is a wasteful number, since it uses less digits than its factorization.

41114456288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101464 (or 101456 counting only the distinct ones).

The product of its digits is 245760, while the sum is 44.

The spelling of 41114456288 in words is "forty-one billion, one hundred fourteen million, four hundred fifty-six thousand, two hundred eighty-eight".