22072142400 has 1008 divisors, whose sum is σ = 93497765760. Its totient is φ = 4460544000.

The previous prime is 22072142399. The next prime is 22072142413. The reversal of 22072142400 is 424127022.

It is a super-4 number, since 4×22072142400⁴ (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 248001556 + ... + 248001644.

It is an arithmetic number, because the mean of its divisors is an integer number (92755720).

Almost surely, 2^22072142400 is an apocalyptic number.

22072142400 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 22072142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46748882880).

22072142400 is an abundant number, since it is smaller than the sum of its proper divisors (71425623360).

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

22072142400 is a wasteful number, since it uses less digits than its factorization.

22072142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

Adding to 22072142400 its reverse (424127022), we get a palindrome (22496269422).

The spelling of 22072142400 in words is "twenty-two billion, seventy-two million, one hundred forty-two thousand, four hundred".