404661345744 has 20 divisors (see below), whose sum is σ = 1045375143296. Its totient is φ = 134887115232.

The previous prime is 404661345731. The next prime is 404661345791. The reversal of 404661345744 is 447543166404.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 8430444703 = 404661345744 / (4 + 0 + 4 + 6 + 6 + 1 + 3 + 4 + 5 + 7 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 404661345693 and 404661345702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4215222304 + ... + 4215222399.

Almost surely, 2^404661345744 is an apocalyptic number.

It is an amenable number.

404661345744 is an abundant number, since it is smaller than the sum of its proper divisors (640713797552).

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

404661345744 is a wasteful number, since it uses less digits than its factorization.

404661345744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8430444714 (or 8430444708 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 48.

The spelling of 404661345744 in words is "four hundred four billion, six hundred sixty-one million, three hundred forty-five thousand, seven hundred forty-four".