222020413440 has 384 divisors, whose sum is σ = 859527002880. Its totient is φ = 47761588224.

The previous prime is 222020413429. The next prime is 222020413441. The reversal of 222020413440 is 44314020222.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 222020413440.

It is not an unprimeable number, because it can be changed into a prime (222020413441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3625314 + ... + 3686046.

It is an arithmetic number, because the mean of its divisors is an integer number (2238351570).

Almost surely, 2^222020413440 is an apocalyptic number.

222020413440 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 222020413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429763501440).

222020413440 is an abundant number, since it is smaller than the sum of its proper divisors (637506589440).

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

222020413440 is a wasteful number, since it uses less digits than its factorization.

222020413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60787 (or 60767 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 222020413440 its reverse (44314020222), we get a palindrome (266334433662).

The spelling of 222020413440 in words is "two hundred twenty-two billion, twenty million, four hundred thirteen thousand, four hundred forty".