41505261136560 has 960 divisors, whose sum is σ = 162190619136000. Its totient is φ = 9425043505152.

The previous prime is 41505261136481. The next prime is 41505261136597. The reversal of 41505261136560 is 6563116250514.

41505261136560 is a `hidden beast` number, since 4 + 1 + 5 + 0 + 52 + 6 + 1 + 1 + 36 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1663325044 + ... + 1663349996.

It is an arithmetic number, because the mean of its divisors is an integer number (168948561600).

Almost surely, 2^{41505261136560} is an apocalyptic number.

41505261136560 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 41505261136560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81095309568000).

41505261136560 is an abundant number, since it is smaller than the sum of its proper divisors (120685357999440).

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

41505261136560 is a wasteful number, since it uses less digits than its factorization.

41505261136560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25250 (or 25241 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 41505261136560 in words is "forty-one trillion, five hundred five billion, two hundred sixty-one million, one hundred thirty-six thousand, five hundred sixty".