404840680677 has 48 divisors (see below), whose sum is σ = 610755752880. Its totient is φ = 258237517824.

The previous prime is 404840680649. The next prime is 404840680681. The reversal of 404840680677 is 776086048404.

404840680677 is a `hidden beast` number, since 40 + 484 + 0 + 68 + 0 + 67 + 7 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 25777586916 + 379063093761 = 160554^2 + 615681^2 .

It is not a de Polignac number, because 404840680677 - 2⁸ = 404840680421 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404840680637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3033753 + ... + 3164385.

It is an arithmetic number, because the mean of its divisors is an integer number (12724078185).

Almost surely, 2^404840680677 is an apocalyptic number.

It is an amenable number.

404840680677 is a deficient number, since it is larger than the sum of its proper divisors (205915072203).

404840680677 is a wasteful number, since it uses less digits than its factorization.

404840680677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130854 (or 130851 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 404840680677 in words is "four hundred four billion, eight hundred forty million, six hundred eighty thousand, six hundred seventy-seven".