404791644672 has 400 divisors, whose sum is σ = 1290841802712. Its totient is φ = 125844848640.

The previous prime is 404791644667. The next prime is 404791644701. The reversal of 404791644672 is 276446197404.

It is a happy number.

404791644672 is a `hidden beast` number, since 4 + 0 + 47 + 91 + 6 + 446 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 206930370816 + 197861273856 = 454896^2 + 444816^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79665172 + ... + 79670252.

Almost surely, 2^404791644672 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 404791644672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645420901356).

404791644672 is an abundant number, since it is smaller than the sum of its proper divisors (886050158040).

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

404791644672 is a wasteful number, since it uses less digits than its factorization.

404791644672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5241 (or 5216 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 404791644672 in words is "four hundred four billion, seven hundred ninety-one million, six hundred forty-four thousand, six hundred seventy-two".