222042413440 has 64 divisors (see below), whose sum is σ = 531511596000. Its totient is φ = 88701272064.

The previous prime is 222042413431. The next prime is 222042413449. The reversal of 222042413440 is 44314240222.

222042413440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (222042413431) and next prime (222042413449).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 222042413399 and 222042413408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222042413449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 266581 + ... + 717739.

Almost surely, 2^222042413440 is an apocalyptic number.

222042413440 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 222042413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265755798000).

222042413440 is an abundant number, since it is smaller than the sum of its proper divisors (309469182560).

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

222042413440 is an equidigital number, since it uses as much as digits as its factorization.

222042413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451947 (or 451935 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 222042413440 its reverse (44314240222), we get a palindrome (266356653662).

The spelling of 222042413440 in words is "two hundred twenty-two billion, forty-two million, four hundred thirteen thousand, four hundred forty".