404788369920 has 320 divisors, whose sum is σ = 1413629521920. Its totient is φ = 97996390400.

The previous prime is 404788369907. The next prime is 404788369927. The reversal of 404788369920 is 29963887404.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (404788369927) 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 31 ways as a sum of consecutive naturals, for example, 70875865 + ... + 70881575.

It is an arithmetic number, because the mean of its divisors is an integer number (4417592256).

Almost surely, 2^404788369920 is an apocalyptic number.

404788369920 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 404788369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706814760960).

404788369920 is an abundant number, since it is smaller than the sum of its proper divisors (1008841152000).

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

404788369920 is a wasteful number, since it uses less digits than its factorization.

404788369920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6587 (or 6571 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 404788369920 in words is "four hundred four billion, seven hundred eighty-eight million, three hundred sixty-nine thousand, nine hundred twenty".