22202442134400 has 768 divisors, whose sum is σ = 81240259219200. Its totient is φ = 5284616601600.

The previous prime is 22202442134393. The next prime is 22202442134407. The reversal of 22202442134400 is 443124420222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22202442134393) and next prime (22202442134407).

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 (22202442134407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1276800906 + ... + 1276818294.

It is an arithmetic number, because the mean of its divisors is an integer number (105781587525).

Almost surely, 2^{22202442134400} is an apocalyptic number.

22202442134400 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 22202442134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40620129609600).

22202442134400 is an abundant number, since it is smaller than the sum of its proper divisors (59037817084800).

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

22202442134400 is a wasteful number, since it uses less digits than its factorization.

22202442134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17647 (or 17630 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 22202442134400 its reverse (443124420222), we get a palindrome (22645566554622).

The spelling of 22202442134400 in words is "twenty-two trillion, two hundred two billion, four hundred forty-two million, one hundred thirty-four thousand, four hundred".