404673376404 has 96 divisors (see below), whose sum is σ = 1073244598272. Its totient is φ = 117563328000.

The previous prime is 404673376361. The next prime is 404673376477.

404673376404 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24277 + ... + 899964.

It is an arithmetic number, because the mean of its divisors is an integer number (11179631232).

Almost surely, 2^404673376404 is an apocalyptic number.

404673376404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404673376404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536622299136).

404673376404 is an abundant number, since it is smaller than the sum of its proper divisors (668571221868).

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

404673376404 is a wasteful number, since it uses less digits than its factorization.

404673376404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924397 (or 924395 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 48.

The spelling of 404673376404 in words is "four hundred four billion, six hundred seventy-three million, three hundred seventy-six thousand, four hundred four".