222313014042400 has 288 divisors, whose sum is σ = 579909383424000. Its totient is φ = 82973692707840.

The previous prime is 222313014042391. The next prime is 222313014042407. The reversal of 222313014042400 is 4240410313222.

It is not an unprimeable number, because it can be changed into a prime (222313014042407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7698071161 + ... + 7698100039.

It is an arithmetic number, because the mean of its divisors is an integer number (2013574248000).

Almost surely, 2^{222313014042400} is an apocalyptic number.

222313014042400 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 222313014042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289954691712000).

222313014042400 is an abundant number, since it is smaller than the sum of its proper divisors (357596369381600).

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

222313014042400 is a wasteful number, since it uses less digits than its factorization.

222313014042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36544 (or 36531 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 222313014042400 its reverse (4240410313222), we get a palindrome (226553424355622).

The spelling of 222313014042400 in words is "two hundred twenty-two trillion, three hundred thirteen billion, fourteen million, forty-two thousand, four hundred".