404240330000 has 100 divisors (see below), whose sum is σ = 1053991699068. Its totient is φ = 149257920000.

The previous prime is 404240329973. The next prime is 404240330023. The reversal of 404240330000 is 33042404.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 292192140304 + 112048189696 = 540548^2 + 334736^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×404240330000³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1424771 + ... + 1684770.

Almost surely, 2^404240330000 is an apocalyptic number.

404240330000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404240330000 is an abundant number, since it is smaller than the sum of its proper divisors (649751369068).

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

404240330000 is a wasteful number, since it uses less digits than its factorization.

404240330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3109582 (or 3109561 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 404240330000 its reverse (33042404), we get a palindrome (404273372404).

The spelling of 404240330000 in words is "four hundred four billion, two hundred forty million, three hundred thirty thousand".