41145602762880 has 6144 divisors, whose sum is σ = 203660564889600. Its totient is φ = 7685922816000.

The previous prime is 41145602762843. The next prime is 41145602762917. The reversal of 41145602762880 is 8826720654114.

41145602762880 is a `hidden beast` number, since 4 + 1 + 1 + 4 + 5 + 6 + 0 + 2 + 7 + 628 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41145602762843) and next prime (41145602762917).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 520830414681 + ... + 520830414759.

It is an arithmetic number, because the mean of its divisors is an integer number (33147878400).

Almost surely, 2^{41145602762880} is an apocalyptic number.

41145602762880 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 41145602762880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101830282444800).

41145602762880 is an abundant number, since it is smaller than the sum of its proper divisors (162514962126720).

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

41145602762880 is a wasteful number, since it uses less digits than its factorization.

41145602762880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 41145602762880 in words is "forty-one trillion, one hundred forty-five billion, six hundred two million, seven hundred sixty-two thousand, eight hundred eighty".