8041656561408 has 72 divisors (see below), whose sum is σ = 23780593208400. Its totient is φ = 2680552184832.

The previous prime is 8041656561397. The next prime is 8041656561457.

It is a happy number.

8041656561408 is a `hidden beast` number, since 8 + 0 + 4 + 16 + 5 + 6 + 5 + 614 + 0 + 8 = 666.

8041656561408 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 581710143 + ... + 581723966.

Almost surely, 2^{8041656561408} is an apocalyptic number.

It is an amenable number.

8041656561408 is an abundant number, since it is smaller than the sum of its proper divisors (15738936646992).

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

8041656561408 is a wasteful number, since it uses less digits than its factorization.

8041656561408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163434134 (or 1163434114 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 8041656561408 in words is "eight trillion, forty-one billion, six hundred fifty-six million, five hundred sixty-one thousand, four hundred eight".