222013224301440 has 768 divisors, whose sum is σ = 836622054293760. Its totient is φ = 49641534259200.

The previous prime is 222013224301369. The next prime is 222013224301447. The reversal of 222013224301440 is 44103422310222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 222013224301398 and 222013224301407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222013224301447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4579362000 + ... + 4579410480.

It is an arithmetic number, because the mean of its divisors is an integer number (1089351633195).

Almost surely, 2^{222013224301440} is an apocalyptic number.

222013224301440 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 222013224301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418311027146880).

222013224301440 is an abundant number, since it is smaller than the sum of its proper divisors (614608829992320).

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

222013224301440 is a wasteful number, since it uses less digits than its factorization.

222013224301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49823 (or 49798 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 222013224301440 its reverse (44103422310222), we get a palindrome (266116646611662).

The spelling of 222013224301440 in words is "two hundred twenty-two trillion, thirteen billion, two hundred twenty-four million, three hundred one thousand, four hundred forty".