41560773408 has 480 divisors, whose sum is σ = 155304293760. Its totient is φ = 10588631040.

The previous prime is 41560773403. The next prime is 41560773433. The reversal of 41560773408 is 80437706514.

41560773408 is a `hidden beast` number, since 4 + 1 + 5 + 607 + 7 + 34 + 0 + 8 = 666.

It is a super-2 number, since 2×41560773408² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (41560773403) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10575988 + ... + 10579916.

It is an arithmetic number, because the mean of its divisors is an integer number (323550612).

Almost surely, 2^41560773408 is an apocalyptic number.

41560773408 is a gapful number since it is divisible by the number (48) 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 41560773408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77652146880).

41560773408 is an abundant number, since it is smaller than the sum of its proper divisors (113743520352).

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

41560773408 is a wasteful number, since it uses less digits than its factorization.

41560773408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4022 (or 4005 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 41560773408 in words is "forty-one billion, five hundred sixty million, seven hundred seventy-three thousand, four hundred eight".