41160756096 has 256 divisors, whose sum is σ = 130605696000. Its totient is φ = 12720623616.

The previous prime is 41160756059. The next prime is 41160756113. The reversal of 41160756096 is 69065706114.

It is a super-2 number, since 2×41160756096² (a number of 22 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 3079540 + ... + 3092876.

It is an arithmetic number, because the mean of its divisors is an integer number (510178500).

Almost surely, 2^41160756096 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 41160756096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65302848000).

41160756096 is an abundant number, since it is smaller than the sum of its proper divisors (89444939904).

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

41160756096 is a wasteful number, since it uses less digits than its factorization.

41160756096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13426 (or 13408 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 41160756096 in words is "forty-one billion, one hundred sixty million, seven hundred fifty-six thousand, ninety-six".