4220053440 has 112 divisors (see below), whose sum is σ = 13430268288. Its totient is φ = 1122694144.

The previous prime is 4220053433. The next prime is 4220053451. The reversal of 4220053440 is 443500224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4220053440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420319 + ... + 430241.

Almost surely, 2^4220053440 is an apocalyptic number.

4220053440 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 4220053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6715134144).

4220053440 is an abundant number, since it is smaller than the sum of its proper divisors (9210214848).

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

4220053440 is a wasteful number, since it uses less digits than its factorization.

4220053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10386 (or 10376 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 4220053440 is about 64961.9383947246. The cubic root of 4220053440 is about 1615.9924108391.

Adding to 4220053440 its reverse (443500224), we get a palindrome (4663553664).

The spelling of 4220053440 in words is "four billion, two hundred twenty million, fifty-three thousand, four hundred forty".