222234144401340 has 288 divisors, whose sum is σ = 718656696576000. Its totient is φ = 55426143891456.

The previous prime is 222234144401329. The next prime is 222234144401443. The reversal of 222234144401340 is 43104441432222.

222234144401340 is a `hidden beast` number, since 2 + 2 + 2 + 234 + 1 + 44 + 40 + 1 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 222234144401295 and 222234144401304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2533434001 + ... + 2533521719.

It is an arithmetic number, because the mean of its divisors is an integer number (2495335752000).

Almost surely, 2^{222234144401340} is an apocalyptic number.

222234144401340 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 222234144401340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359328348288000).

222234144401340 is an abundant number, since it is smaller than the sum of its proper divisors (496422552174660).

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

222234144401340 is a wasteful number, since it uses less digits than its factorization.

222234144401340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97209 (or 97204 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 222234144401340 its reverse (43104441432222), we get a palindrome (265338585833562).

The spelling of 222234144401340 in words is "two hundred twenty-two trillion, two hundred thirty-four billion, one hundred forty-four million, four hundred one thousand, three hundred forty".