4222121440 has 96 divisors (see below), whose sum is σ = 10163010816. Its totient is φ = 1657221120.

The previous prime is 4222121417. The next prime is 4222121447. The reversal of 4222121440 is 441212224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4222121447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2603830 + ... + 2605450.

It is an arithmetic number, because the mean of its divisors is an integer number (105864696).

Almost surely, 2^4222121440 is an apocalyptic number.

4222121440 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 4222121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5081505408).

4222121440 is an abundant number, since it is smaller than the sum of its proper divisors (5940889376).

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

4222121440 is a wasteful number, since it uses less digits than its factorization.

4222121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 4222121440 is about 64977.8534579283. The cubic root of 4222121440 is about 1616.2563353460.

Adding to 4222121440 its reverse (441212224), we get a palindrome (4663333664).

The spelling of 4222121440 in words is "four billion, two hundred twenty-two million, one hundred twenty-one thousand, four hundred forty".