404474518800 has 720 divisors, whose sum is σ = 1600815041280. Its totient is φ = 93671424000.

The previous prime is 404474518781. The next prime is 404474518807. The reversal of 404474518800 is 8815474404.

It is a tau number, because it is divible by the number of its divisors (720).

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 (404474518807) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 111392985 + ... + 111396615.

It is an arithmetic number, because the mean of its divisors is an integer number (2223354224).

Almost surely, 2^404474518800 is an apocalyptic number.

404474518800 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 404474518800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800407520640).

404474518800 is an abundant number, since it is smaller than the sum of its proper divisors (1196340522480).

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

404474518800 is a wasteful number, since it uses less digits than its factorization.

404474518800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 404474518800 in words is "four hundred four billion, four hundred seventy-four million, five hundred eighteen thousand, eight hundred".