404013403144400 has 480 divisors, whose sum is σ = 1139622780426240. Its totient is φ = 134789909760000.

The previous prime is 404013403144381. The next prime is 404013403144423. The reversal of 404013403144400 is 4441304310404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8317972115 + ... + 8318020685.

It is an arithmetic number, because the mean of its divisors is an integer number (2374214125888).

Almost surely, 2^{404013403144400} is an apocalyptic number.

404013403144400 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 404013403144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569811390213120).

404013403144400 is an abundant number, since it is smaller than the sum of its proper divisors (735609377281840).

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

404013403144400 is a wasteful number, since it uses less digits than its factorization.

404013403144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49203 (or 49192 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 404013403144400 its reverse (4441304310404), we get a palindrome (408454707454804).

The spelling of 404013403144400 in words is "four hundred four trillion, thirteen billion, four hundred three million, one hundred forty-four thousand, four hundred".