22144544400 has 240 divisors, whose sum is σ = 79478359488. Its totient is φ = 5223168000.

The previous prime is 22144544381. The next prime is 22144544483. The reversal of 22144544400 is 444544122.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 465730 + ... + 511070.

Almost surely, 2^22144544400 is an apocalyptic number.

22144544400 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 22144544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39739179744).

22144544400 is an abundant number, since it is smaller than the sum of its proper divisors (57333815088).

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

22144544400 is a wasteful number, since it uses less digits than its factorization.

22144544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45410 (or 45399 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

The spelling of 22144544400 in words is "twenty-two billion, one hundred forty-four million, five hundred forty-four thousand, four hundred".