41679342610560 has 192 divisors, whose sum is σ = 143935821483480. Its totient is φ = 11113576906752.

The previous prime is 41679342610547. The next prime is 41679342610627. The reversal of 41679342610560 is 6501624397614.

It is a happy number.

41679342610560 is a `hidden beast` number, since 4 + 1 + 6 + 79 + 3 + 4 + 2 + 6 + 1 + 0 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34829732395584 + 6849610214976 = 5901672^2 + 2617176^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 41679342610497 and 41679342610506.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71207412 + ... + 71790348.

Almost surely, 2^{41679342610560} is an apocalyptic number.

41679342610560 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 41679342610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71967910741740).

41679342610560 is an abundant number, since it is smaller than the sum of its proper divisors (102256478872920).

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

41679342610560 is a wasteful number, since it uses less digits than its factorization.

41679342610560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595375 (or 595360 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 41679342610560 in words is "forty-one trillion, six hundred seventy-nine billion, three hundred forty-two million, six hundred ten thousand, five hundred sixty".