404540022400 has 96 divisors (see below), whose sum is σ = 1000720637280. Its totient is φ = 161592499200.

The previous prime is 404540022373. The next prime is 404540022427. The reversal of 404540022400 is 4220045404.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (404540022373) and next prime (404540022427).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2239455 + ... + 2413345.

It is an arithmetic number, because the mean of its divisors is an integer number (10424173305).

Almost surely, 2^404540022400 is an apocalyptic number.

404540022400 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 404540022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500360318640).

404540022400 is an abundant number, since it is smaller than the sum of its proper divisors (596180614880).

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

404540022400 is a wasteful number, since it uses less digits than its factorization.

404540022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174642 (or 174625 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

Adding to 404540022400 its reverse (4220045404), we get a palindrome (408760067804).

The spelling of 404540022400 in words is "four hundred four billion, five hundred forty million, twenty-two thousand, four hundred".