10222414400 has 168 divisors, whose sum is σ = 28634399424. Its totient is φ = 3555481600.

The previous prime is 10222414369. The next prime is 10222414403. The reversal of 10222414400 is 441422201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10222414403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 392174 + ... + 417426.

Almost surely, 2^10222414400 is an apocalyptic number.

10222414400 is a gapful number since it is divisible by the number (10) 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 10222414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14317199712).

10222414400 is an abundant number, since it is smaller than the sum of its proper divisors (18411985024).

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

10222414400 is a wasteful number, since it uses less digits than its factorization.

10222414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25309 (or 25294 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10222414400 its reverse (441422201), we get a palindrome (10663836601).

The spelling of 10222414400 in words is "ten billion, two hundred twenty-two million, four hundred fourteen thousand, four hundred".