22400400000 has 384 divisors, whose sum is σ = 81180429120. Its totient is φ = 5427200000.

The previous prime is 22400399947. The next prime is 22400400017. The reversal of 22400400000 is 400422.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 47 ways as a sum of consecutive naturals, for example, 13199152 + ... + 13200848.

Almost surely, 2^22400400000 is an apocalyptic number.

22400400000 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 22400400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40590214560).

22400400000 is an abundant number, since it is smaller than the sum of its proper divisors (58780029120).

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

22400400000 is an equidigital number, since it uses as much as digits as its factorization.

22400400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 22400400000 its reverse (400422), we get a palindrome (22400800422).

The spelling of 22400400000 in words is "twenty-two billion, four hundred million, four hundred thousand".