404989009920 has 1008 divisors, whose sum is σ = 1601932623408. Its totient is φ = 97462517760.

The previous prime is 404989009823. The next prime is 404989009927. The reversal of 404989009920 is 29900989404.

404989009920 is a `hidden beast` number, since 40 + 498 + 9 + 0 + 0 + 99 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404989009927) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2956124092 + ... + 2956124228.

Almost surely, 2^404989009920 is an apocalyptic number.

404989009920 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 404989009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800966311704).

404989009920 is an abundant number, since it is smaller than the sum of its proper divisors (1196943613488).

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

404989009920 is an frugal number, since it uses more digits than its factorization.

404989009920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 404989009920 in words is "four hundred four billion, nine hundred eighty-nine million, nine thousand, nine hundred twenty".