22214510010400 has 72 divisors (see below), whose sum is σ = 54432775962180. Its totient is φ = 8852771189760.

The previous prime is 22214510010397. The next prime is 22214510010401. The reversal of 22214510010400 is 401001541222.

It can be written as a sum of positive squares in 6 ways, for example, as 4570376968336 + 17644133042064 = 2137844^2 + 4200492^2 .

It is not an unprimeable number, because it can be changed into a prime (22214510010401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51398439 + ... + 51828838.

Almost surely, 2^{22214510010400} is an apocalyptic number.

22214510010400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22214510010400 is an abundant number, since it is smaller than the sum of its proper divisors (32218265951780).

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

22214510010400 is a wasteful number, since it uses less digits than its factorization.

22214510010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103227566 (or 103227553 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 22214510010400 its reverse (401001541222), we get a palindrome (22615511551622).

The spelling of 22214510010400 in words is "twenty-two trillion, two hundred fourteen billion, five hundred ten million, ten thousand, four hundred".