404400402400 has 72 divisors (see below), whose sum is σ = 987815541384. Its totient is φ = 161666265600.

The previous prime is 404400402379. The next prime is 404400402443. The reversal of 404400402400 is 4204004404.

It is a super-2 number, since 2×404400402400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1240555 + ... + 1532245.

It is an arithmetic number, because the mean of its divisors is an integer number (13719660297).

Almost surely, 2^404400402400 is an apocalyptic number.

404400402400 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 404400402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493907770692).

404400402400 is an abundant number, since it is smaller than the sum of its proper divisors (583415138984).

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

404400402400 is a wasteful number, since it uses less digits than its factorization.

404400402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293444 (or 293431 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 404400402400 its reverse (4204004404), we get a palindrome (408604406804).

The spelling of 404400402400 in words is "four hundred four billion, four hundred million, four hundred two thousand, four hundred".