41114222569728 has 1440 divisors, whose sum is σ = 159794129037312. Its totient is φ = 10195343769600.

The previous prime is 41114222569711. The next prime is 41114222569757. The reversal of 41114222569728 is 82796522241114.

41114222569728 is a `hidden beast` number, since 4 + 1 + 1 + 1 + 4 + 2 + 2 + 2 + 569 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35658475200 + ... + 35658476352.

Almost surely, 2^{41114222569728} is an apocalyptic number.

41114222569728 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 41114222569728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79897064518656).

41114222569728 is an abundant number, since it is smaller than the sum of its proper divisors (118679906467584).

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

41114222569728 is a wasteful number, since it uses less digits than its factorization.

41114222569728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2170 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 41114222569728 in words is "forty-one trillion, one hundred fourteen billion, two hundred twenty-two million, five hundred sixty-nine thousand, seven hundred twenty-eight".