22343024004400 has 480 divisors, whose sum is σ = 61242877080000. Its totient is φ = 7758780825600.

The previous prime is 22343024004337. The next prime is 22343024004439. The reversal of 22343024004400 is 440042034322.

It is a happy number.

It is a super-2 number, since 2×22343024004400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10695558556 + ... + 10695560644.

It is an arithmetic number, because the mean of its divisors is an integer number (127589327250).

Almost surely, 2^{22343024004400} is an apocalyptic number.

22343024004400 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 22343024004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30621438540000).

22343024004400 is an abundant number, since it is smaller than the sum of its proper divisors (38899853075600).

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

22343024004400 is a wasteful number, since it uses less digits than its factorization.

22343024004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3025 (or 3014 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 22343024004400 its reverse (440042034322), we get a palindrome (22783066038722).

The spelling of 22343024004400 in words is "twenty-two trillion, three hundred forty-three billion, twenty-four million, four thousand, four hundred".