404982789120 has 2112 divisors, whose sum is σ = 1852636531200. Its totient is φ = 84276412416.

The previous prime is 404982789097. The next prime is 404982789131. The reversal of 404982789120 is 21987289404.

404982789120 is a `hidden beast` number, since 4 + 0 + 498 + 27 + 8 + 9 + 120 = 666.

It is a super-2 number, since 2×404982789120² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5547709404 + ... + 5547709476.

Almost surely, 2^404982789120 is an apocalyptic number.

404982789120 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 404982789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926318265600).

404982789120 is an abundant number, since it is smaller than the sum of its proper divisors (1447653742080).

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

404982789120 is an equidigital number, since it uses as much as digits as its factorization.

404982789120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 404982789120 in words is "four hundred four billion, nine hundred eighty-two million, seven hundred eighty-nine thousand, one hundred twenty".