2211430334440 has 128 divisors (see below), whose sum is σ = 5282872254720. Its totient is φ = 830255616000.

The previous prime is 2211430334387. The next prime is 2211430334497. The reversal of 2211430334440 is 444330341122.

2211430334440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2211430334440² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 676070005 + ... + 676073275.

It is an arithmetic number, because the mean of its divisors is an integer number (41272439490).

Almost surely, 2^{2211430334440} is an apocalyptic number.

2211430334440 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 2211430334440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641436127360).

2211430334440 is an abundant number, since it is smaller than the sum of its proper divisors (3071441920280).

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

2211430334440 is a wasteful number, since it uses less digits than its factorization.

2211430334440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5723 (or 5719 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 2211430334440 its reverse (444330341122), we get a palindrome (2655760675562).

The spelling of 2211430334440 in words is "two trillion, two hundred eleven billion, four hundred thirty million, three hundred thirty-four thousand, four hundred forty".