404097076800 has 840 divisors, whose sum is σ = 1571281896800. Its totient is φ = 101583175680.

The previous prime is 404097076771. The next prime is 404097076807. The reversal of 404097076800 is 8670790404.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (404097076807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 933249384 + ... + 933249816.

Almost surely, 2^404097076800 is an apocalyptic number.

404097076800 is a gapful number since it is divisible by the number (40) 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 404097076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785640948400).

404097076800 is an abundant number, since it is smaller than the sum of its proper divisors (1167184820000).

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

404097076800 is a wasteful number, since it uses less digits than its factorization.

404097076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 404097076800 in words is "four hundred four billion, ninety-seven million, seventy-six thousand, eight hundred".