404800888800 has 288 divisors, whose sum is σ = 1642756356864. Its totient is φ = 84114432000.

The previous prime is 404800888763. The next prime is 404800888801. The reversal of 404800888800 is 8888008404.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 404800888800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404800888801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 910441 + ... + 1280040.

It is an arithmetic number, because the mean of its divisors is an integer number (5704015128).

Almost surely, 2^404800888800 is an apocalyptic number.

404800888800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404800888800 is an abundant number, since it is smaller than the sum of its proper divisors (1237955468064).

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

404800888800 is a wasteful number, since it uses less digits than its factorization.

404800888800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190522 (or 2190509 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 48.

The spelling of 404800888800 in words is "four hundred four billion, eight hundred million, eight hundred eighty-eight thousand, eight hundred".