41109956157312 has 1536 divisors, whose sum is σ = 153014883840000. Its totient is φ = 10553113460736.

The previous prime is 41109956157301. The next prime is 41109956157341. The reversal of 41109956157312 is 21375165990114.

41109956157312 is a `hidden beast` number, since 4 + 1 + 1 + 0 + 9 + 9 + 5 + 61 + 573 + 1 + 2 = 666.

It is a super-2 number, since 2×41109956157312² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 81729534853 + ... + 81729535355.

It is an arithmetic number, because the mean of its divisors is an integer number (99619065000).

Almost surely, 2^{41109956157312} is an apocalyptic number.

41109956157312 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 41109956157312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76507441920000).

41109956157312 is an abundant number, since it is smaller than the sum of its proper divisors (111904927682688).

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

41109956157312 is an equidigital number, since it uses as much as digits as its factorization.

41109956157312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 41109956157312 in words is "forty-one trillion, one hundred nine billion, nine hundred fifty-six million, one hundred fifty-seven thousand, three hundred twelve".