22001408400 has 120 divisors (see below), whose sum is σ = 70513567200. Its totient is φ = 5864069120.

The previous prime is 22001408399. The next prime is 22001408417. The reversal of 22001408400 is 480410022.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3408376 + ... + 3414824.

It is an arithmetic number, because the mean of its divisors is an integer number (587613060).

Almost surely, 2^22001408400 is an apocalyptic number.

22001408400 is a gapful number since it is divisible by the number (20) 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 22001408400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35256783600).

22001408400 is an abundant number, since it is smaller than the sum of its proper divisors (48512158800).

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

22001408400 is a wasteful number, since it uses less digits than its factorization.

22001408400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9313 (or 9302 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 22001408400 its reverse (480410022), we get a palindrome (22481818422).

The spelling of 22001408400 in words is "twenty-two billion, one million, four hundred eight thousand, four hundred".