404018233344 has 1020 divisors, whose sum is σ = 1442778712452. Its totient is φ = 112113745920.

The previous prime is 404018233343. The next prime is 404018233349. The reversal of 404018233344 is 443332810404.

404018233344 is a `hidden beast` number, since 40 + 40 + 1 + 8 + 233 + 344 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 339786399744 + 64231833600 = 582912^2 + 253440^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 404018233299 and 404018233308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404018233343) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10919411694 + ... + 10919411730.

Almost surely, 2^404018233344 is an apocalyptic number.

404018233344 is a gapful number since it is divisible by the number (44) 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 404018233344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721389356226).

404018233344 is an abundant number, since it is smaller than the sum of its proper divisors (1038760479108).

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

404018233344 is an equidigital number, since it uses as much as digits as its factorization.

404018233344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 404018233344 in words is "four hundred four billion, eighteen million, two hundred thirty-three thousand, three hundred forty-four".