404688383008 has 288 divisors, whose sum is σ = 1036883151360. Its totient is φ = 153942405120.

The previous prime is 404688382999. The next prime is 404688383009. The reversal of 404688383008 is 800383886404.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (404688383009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102998388 + ... + 103002316.

It is an arithmetic number, because the mean of its divisors is an integer number (3600288720).

Almost surely, 2^404688383008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404688383008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518441575680).

404688383008 is an abundant number, since it is smaller than the sum of its proper divisors (632194768352).

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

404688383008 is a wasteful number, since it uses less digits than its factorization.

404688383008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4160 (or 4145 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 52.

The spelling of 404688383008 in words is "four hundred four billion, six hundred eighty-eight million, three hundred eighty-three thousand, eight".