10414422220200 has 96 divisors (see below), whose sum is σ = 32285457705600. Its totient is φ = 2777114844160.

The previous prime is 10414422220157. The next prime is 10414422220201. The reversal of 10414422220200 is 202222441401.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (10414422220201) 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, 29285056 + ... + 29638544.

It is an arithmetic number, because the mean of its divisors is an integer number (336306851100).

Almost surely, 2^{10414422220200} is an apocalyptic number.

10414422220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10414422220200 is an abundant number, since it is smaller than the sum of its proper divisors (21871035485400).

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

10414422220200 is a wasteful number, since it uses less digits than its factorization.

10414422220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402611 (or 402602 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10414422220200 its reverse (202222441401), we get a palindrome (10616644661601).

The spelling of 10414422220200 in words is "ten trillion, four hundred fourteen billion, four hundred twenty-two million, two hundred twenty thousand, two hundred".