41553542590560 has 3888 divisors, whose sum is σ = 202883003406720. Its totient is φ = 7704900403200.

The previous prime is 41553542590463. The next prime is 41553542590601. The reversal of 41553542590560 is 6509524535514.

41553542590560 is a `hidden beast` number, since 4 + 1 + 5 + 5 + 3 + 5 + 42 + 590 + 5 + 6 + 0 = 666.

It is a super-2 number, since 2×41553542590560² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41553542590497 and 41553542590506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 44729324176 + ... + 44729325104.

It is an arithmetic number, because the mean of its divisors is an integer number (52181842440).

Almost surely, 2^{41553542590560} is an apocalyptic number.

41553542590560 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 41553542590560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101441501703360).

41553542590560 is an abundant number, since it is smaller than the sum of its proper divisors (161329460816160).

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

41553542590560 is a wasteful number, since it uses less digits than its factorization.

41553542590560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 16200000, while the sum is 54.

The spelling of 41553542590560 in words is "forty-one trillion, five hundred fifty-three billion, five hundred forty-two million, five hundred ninety thousand, five hundred sixty".