41161300355560 has 256 divisors, whose sum is σ = 122051183616000. Its totient is φ = 12103400816640.

The previous prime is 41161300355551. The next prime is 41161300355597. The reversal of 41161300355560 is 6555300316114.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12514792 + ... + 15457768.

It is an arithmetic number, because the mean of its divisors is an integer number (476762436000).

Almost surely, 2^{41161300355560} is an apocalyptic number.

41161300355560 is a gapful number since it is divisible by the number (40) 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 41161300355560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61025591808000).

41161300355560 is an abundant number, since it is smaller than the sum of its proper divisors (80889883260440).

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

41161300355560 is a wasteful number, since it uses less digits than its factorization.

41161300355560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943264 (or 2943260 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 40.

The spelling of 41161300355560 in words is "forty-one trillion, one hundred sixty-one billion, three hundred million, three hundred fifty-five thousand, five hundred sixty".