41045300901360 has 1280 divisors, whose sum is σ = 168890676019200. Its totient is φ = 8965342310400.

The previous prime is 41045300901331. The next prime is 41045300901373. The reversal of 41045300901360 is 6310900354014.

41045300901360 is a `hidden beast` number, since 4 + 1 + 0 + 4 + 530 + 0 + 90 + 1 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13631782255 + ... + 13631785265.

It is an arithmetic number, because the mean of its divisors is an integer number (131945840640).

Almost surely, 2^{41045300901360} is an apocalyptic number.

41045300901360 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 41045300901360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84445338009600).

41045300901360 is an abundant number, since it is smaller than the sum of its proper divisors (127845375117840).

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

41045300901360 is a wasteful number, since it uses less digits than its factorization.

41045300901360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 41045300901360 in words is "forty-one trillion, forty-five billion, three hundred million, nine hundred one thousand, three hundred sixty".