404040806400 has 2496 divisors, whose sum is σ = 1872108748800. Its totient is φ = 74317824000.

The previous prime is 404040806387. The next prime is 404040806413. The reversal of 404040806400 is 4608040404.

It is an interprime number because it is at equal distance from previous prime (404040806387) and next prime (404040806413).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13033574385 + ... + 13033574415.

Almost surely, 2^404040806400 is an apocalyptic number.

404040806400 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 404040806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936054374400).

404040806400 is an abundant number, since it is smaller than the sum of its proper divisors (1468067942400).

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

404040806400 is a wasteful number, since it uses less digits than its factorization.

404040806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 404040806400 its reverse (4608040404), we get a palindrome (408648846804).

The spelling of 404040806400 in words is "four hundred four billion, forty million, eight hundred six thousand, four hundred".