22406224824400 has 120 divisors (see below), whose sum is σ = 55347399289728. Its totient is φ = 8711625600000.

The previous prime is 22406224824377. The next prime is 22406224824407. The reversal of 22406224824400 is 442842260422.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22406224824407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1923675 + ... + 6965125.

Almost surely, 2^{22406224824400} is an apocalyptic number.

22406224824400 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 22406224824400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27673699644864).

22406224824400 is an abundant number, since it is smaller than the sum of its proper divisors (32941174465328).

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

22406224824400 is a wasteful number, since it uses less digits than its factorization.

22406224824400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5041781 (or 5041770 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 40.

The spelling of 22406224824400 in words is "twenty-two trillion, four hundred six billion, two hundred twenty-four million, eight hundred twenty-four thousand, four hundred".