4220411440 has 80 divisors (see below), whose sum is σ = 11237280768. Its totient is φ = 1444025088.

The previous prime is 4220411431. The next prime is 4220411471. The reversal of 4220411440 is 441140224.

It is a tau number, because it is divible by the number of its divisors (80).

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, 274189 + ... + 289171.

Almost surely, 2^4220411440 is an apocalyptic number.

4220411440 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 4220411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5618640384).

4220411440 is an abundant number, since it is smaller than the sum of its proper divisors (7016869328).

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

4220411440 is a wasteful number, since it uses less digits than its factorization.

4220411440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15506 (or 15500 counting only the distinct ones).

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

The square root of 4220411440 is about 64964.6937959381. The cubic root of 4220411440 is about 1616.0381060681.

Adding to 4220411440 its reverse (441140224), we get a palindrome (4661551664).

The spelling of 4220411440 in words is "four billion, two hundred twenty million, four hundred eleven thousand, four hundred forty".