4222314010240 has 128 divisors (see below), whose sum is σ = 10287308344320. Its totient is φ = 1656594001920.

The previous prime is 4222314010237. The next prime is 4222314010319. The reversal of 4222314010240 is 420104132224.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136580385 + ... + 136611295.

It is an arithmetic number, because the mean of its divisors is an integer number (80369596440).

Almost surely, 2^{4222314010240} is an apocalyptic number.

4222314010240 is a gapful number since it is divisible by the number (40) 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 4222314010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5143654172160).

4222314010240 is an abundant number, since it is smaller than the sum of its proper divisors (6064994334080).

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

4222314010240 is a wasteful number, since it uses less digits than its factorization.

4222314010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35010 (or 34998 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 4222314010240 its reverse (420104132224), we get a palindrome (4642418142464).

The spelling of 4222314010240 in words is "four trillion, two hundred twenty-two billion, three hundred fourteen million, ten thousand, two hundred forty".