404001360400 has 120 divisors (see below), whose sum is σ = 1059115024800. Its totient is φ = 146872934400.

The previous prime is 404001360383. The next prime is 404001360421. The reversal of 404001360400 is 4063100404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22778736 + ... + 22796464.

It is an arithmetic number, because the mean of its divisors is an integer number (8825958540).

Almost surely, 2^404001360400 is an apocalyptic number.

404001360400 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 404001360400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529557512400).

404001360400 is an abundant number, since it is smaller than the sum of its proper divisors (655113664400).

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

404001360400 is a wasteful number, since it uses less digits than its factorization.

404001360400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22937 (or 22926 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 404001360400 its reverse (4063100404), we get a palindrome (408064460804).

The spelling of 404001360400 in words is "four hundred four billion, one million, three hundred sixty thousand, four hundred".