41080965015552 has 768 divisors, whose sum is σ = 144709623152640. Its totient is φ = 10033692672000.

The previous prime is 41080965015529. The next prime is 41080965015553. The reversal of 41080965015552 is 25551056908014.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 41080965015495 and 41080965015504.

It is not an unprimeable number, because it can be changed into a prime (41080965015553) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15288783553 + ... + 15288786239.

It is an arithmetic number, because the mean of its divisors is an integer number (188423988480).

Almost surely, 2^{41080965015552} is an apocalyptic number.

41080965015552 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 41080965015552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72354811576320).

41080965015552 is an abundant number, since it is smaller than the sum of its proper divisors (103628658137088).

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

41080965015552 is a wasteful number, since it uses less digits than its factorization.

41080965015552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4648 (or 4628 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 51.

The spelling of 41080965015552 in words is "forty-one trillion, eighty billion, nine hundred sixty-five million, fifteen thousand, five hundred fifty-two".