404919480000 has 560 divisors, whose sum is σ = 1539128321280. Its totient is φ = 92001792000.

The previous prime is 404919479989. The next prime is 404919480037. The reversal of 404919480000 is 84919404.

It is a tau number, because it is divible by the number of its divisors (560).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 150358654 + ... + 150361346.

Almost surely, 2^404919480000 is an apocalyptic number.

404919480000 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 404919480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769564160640).

404919480000 is an abundant number, since it is smaller than the sum of its proper divisors (1134208841280).

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

404919480000 is a wasteful number, since it uses less digits than its factorization.

404919480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 404919480000 in words is "four hundred four billion, nine hundred nineteen million, four hundred eighty thousand".