22254034220400 has 240 divisors, whose sum is σ = 72045529589600. Its totient is φ = 5871311585280.

The previous prime is 22254034220387. The next prime is 22254034220401. The reversal of 22254034220400 is 402243045222.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22254034220401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 375825996 + ... + 375885204.

Almost surely, 2^{22254034220400} is an apocalyptic number.

22254034220400 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 22254034220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36022764794800).

22254034220400 is an abundant number, since it is smaller than the sum of its proper divisors (49791495369200).

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

22254034220400 is a wasteful number, since it uses less digits than its factorization.

22254034220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62556 (or 62545 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 22254034220400 its reverse (402243045222), we get a palindrome (22656277265622).

The spelling of 22254034220400 in words is "twenty-two trillion, two hundred fifty-four billion, thirty-four million, two hundred twenty thousand, four hundred".