4024420224 has 128 divisors (see below), whose sum is σ = 11933412480. Its totient is φ = 1191106560.

The previous prime is 4024420201. The next prime is 4024420241. The reversal of 4024420224 is 4220244204.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 4024420194 and 4024420203.

It is a congruent number.

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, 170554 + ... + 192710.

It is an arithmetic number, because the mean of its divisors is an integer number (93229785).

Almost surely, 2^4024420224 is an apocalyptic number.

4024420224 is a gapful number since it is divisible by the number (44) 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 4024420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5966706240).

4024420224 is an abundant number, since it is smaller than the sum of its proper divisors (7908992256).

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

4024420224 is a wasteful number, since it uses less digits than its factorization.

4024420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22228 (or 22216 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4024420224 is about 63438.3182627030. The cubic root of 4024420224 is about 1590.6248910413.

Adding to 4024420224 its reverse (4220244204), we get a palindrome (8244664428).

The spelling of 4024420224 in words is "four billion, twenty-four million, four hundred twenty thousand, two hundred twenty-four".