404869881600 has 1296 divisors, whose sum is σ = 1594217963520. Its totient is φ = 101490278400.

The previous prime is 404869881587. The next prime is 404869881631. The reversal of 404869881600 is 6188968404.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 2119737505 + ... + 2119737695.

Almost surely, 2^404869881600 is an apocalyptic number.

404869881600 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 404869881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797108981760).

404869881600 is an abundant number, since it is smaller than the sum of its proper divisors (1189348081920).

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

404869881600 is a wasteful number, since it uses less digits than its factorization.

404869881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 404869881600 in words is "four hundred four billion, eight hundred sixty-nine million, eight hundred eighty-one thousand, six hundred".