404003200000 has 264 divisors, whose sum is σ = 1016270454528. Its totient is φ = 160512000000.

The previous prime is 404003199991. The next prime is 404003200009. The reversal of 404003200000 is 2300404.

It is an interprime number because it is at equal distance from previous prime (404003199991) and next prime (404003200009).

It is a super-2 number, since 2×404003200000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404003200009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 611199670 + ... + 611200330.

Almost surely, 2^404003200000 is an apocalyptic number.

404003200000 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 404003200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508135227264).

404003200000 is an abundant number, since it is smaller than the sum of its proper divisors (612267254528).

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

404003200000 is an frugal number, since it uses more digits than its factorization.

404003200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

Adding to 404003200000 its reverse (2300404), we get a palindrome (404005500404).

The spelling of 404003200000 in words is "four hundred four billion, three million, two hundred thousand".