4240222321140 has 288 divisors, whose sum is σ = 14671707392160. Its totient is φ = 981979987968.

The previous prime is 4240222321109. The next prime is 4240222321193. The reversal of 4240222321140 is 411232220424.

It is a happy number.

4240222321140 is a `hidden beast` number, since 4 + 2 + 402 + 2 + 2 + 3 + 211 + 40 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 732400486416 + 3507821834724 = 855804^2 + 1872918^2 .

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, 113632806 + ... + 113670114.

It is an arithmetic number, because the mean of its divisors is an integer number (50943428445).

Almost surely, 2^{4240222321140} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4240222321140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7335853696080).

4240222321140 is an abundant number, since it is smaller than the sum of its proper divisors (10431485071020).

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

4240222321140 is a wasteful number, since it uses less digits than its factorization.

4240222321140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40211 (or 40206 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4240222321140 its reverse (411232220424), we get a palindrome (4651454541564).

The spelling of 4240222321140 in words is "four trillion, two hundred forty billion, two hundred twenty-two million, three hundred twenty-one thousand, one hundred forty".