4240220424 has 384 divisors, whose sum is σ = 13197004800. Its totient is φ = 1129075200.

The previous prime is 4240220423. The next prime is 4240220431.

4240220424 is nontrivially palindromic in base 10.

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 = 4240220394 and 4240220403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4240220423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63286839 + ... + 63286905.

It is an arithmetic number, because the mean of its divisors is an integer number (34367200).

Almost surely, 2^4240220424 is an apocalyptic number.

4240220424 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 4240220424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6598502400).

4240220424 is an abundant number, since it is smaller than the sum of its proper divisors (8956784376).

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

4240220424 is a wasteful number, since it uses less digits than its factorization.

4240220424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 170 counting only the distinct ones).

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

The square root of 4240220424 is about 65116.9749297370. The cubic root of 4240220424 is about 1618.5625138991.

It can be divided in two parts, 42402 and 20424, that added together give a palindrome (62826).

The spelling of 4240220424 in words is "four billion, two hundred forty million, two hundred twenty thousand, four hundred twenty-four".