41565106512 has 120 divisors (see below), whose sum is σ = 124205425344. Its totient is φ = 12944397312.

The previous prime is 41565106433. The next prime is 41565106537. The reversal of 41565106512 is 21560156514.

41565106512 is a `hidden beast` number, since 41 + 56 + 51 + 0 + 6 + 512 = 666.

It is a super-2 number, since 2×41565106512² (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 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 23 ways as a sum of consecutive naturals, for example, 3513 + ... + 288344.

Almost surely, 2^41565106512 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 41565106512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62102712672).

41565106512 is an abundant number, since it is smaller than the sum of its proper divisors (82640318832).

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

41565106512 is a wasteful number, since it uses less digits than its factorization.

41565106512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291937 (or 291928 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 41565106512 in words is "forty-one billion, five hundred sixty-five million, one hundred six thousand, five hundred twelve".