41112564192 has 576 divisors, whose sum is σ = 145873728000. Its totient is φ = 10722668544.

The previous prime is 41112564161. The next prime is 41112564197. The reversal of 41112564192 is 29146521114.

41112564192 is a `hidden beast` number, since 4 + 1 + 1 + 1 + 2 + 5 + 641 + 9 + 2 = 666.

It is a super-2 number, since 2×41112564192² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41112564197) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 179530734 + ... + 179530962.

It is an arithmetic number, because the mean of its divisors is an integer number (253253000).

Almost surely, 2^41112564192 is an apocalyptic number.

41112564192 is a gapful number since it is divisible by the number (42) 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 41112564192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72936864000).

41112564192 is an abundant number, since it is smaller than the sum of its proper divisors (104761163808).

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

41112564192 is a wasteful number, since it uses less digits than its factorization.

41112564192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 412 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The spelling of 41112564192 in words is "forty-one billion, one hundred twelve million, five hundred sixty-four thousand, one hundred ninety-two".