41335534656 has 448 divisors, whose sum is σ = 136874707200. Its totient is φ = 12144771072.

The previous prime is 41335534637. The next prime is 41335534679. The reversal of 41335534656 is 65643553314.

41335534656 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 553 + 46 + 56 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69705496 + ... + 69706088.

It is an arithmetic number, because the mean of its divisors is an integer number (305523900).

Almost surely, 2^41335534656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41335534656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68437353600).

41335534656 is an abundant number, since it is smaller than the sum of its proper divisors (95539172544).

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

41335534656 is a wasteful number, since it uses less digits than its factorization.

41335534656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 747 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 45.

The spelling of 41335534656 in words is "forty-one billion, three hundred thirty-five million, five hundred thirty-four thousand, six hundred fifty-six".