4314420022240 has 96 divisors (see below), whose sum is σ = 10453342382784. Its totient is φ = 1681754050560.

The previous prime is 4314420022219. The next prime is 4314420022243. The reversal of 4314420022240 is 422200244134.

It is a super-2 number, since 2×4314420022240² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4314420022199 and 4314420022208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314420022243) 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, 5378157 + ... + 6128083.

It is an arithmetic number, because the mean of its divisors is an integer number (108888983154).

Almost surely, 2^{4314420022240} is an apocalyptic number.

4314420022240 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 4314420022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5226671191392).

4314420022240 is an abundant number, since it is smaller than the sum of its proper divisors (6138922360544).

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

4314420022240 is a wasteful number, since it uses less digits than its factorization.

4314420022240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750860 (or 750852 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 4314420022240 its reverse (422200244134), we get a palindrome (4736620266374).

The spelling of 4314420022240 in words is "four trillion, three hundred fourteen billion, four hundred twenty million, twenty-two thousand, two hundred forty".