4220411424 has 96 divisors (see below), whose sum is σ = 11715217920. Its totient is φ = 1328179200.

The previous prime is 4220411413. The next prime is 4220411431. The reversal of 4220411424 is 4241140224.

4220411424 = 11653² + 11654² + ... + 11683².

It is a tau number, because it is divible by the number of its divisors (96).

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 = 4220411394 and 4220411403.

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, 104722 + ... + 139310.

It is an arithmetic number, because the mean of its divisors is an integer number (122033520).

Almost surely, 2^4220411424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4220411424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5857608960).

4220411424 is an abundant number, since it is smaller than the sum of its proper divisors (7494806496).

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

4220411424 is a wasteful number, since it uses less digits than its factorization.

4220411424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34674 (or 34666 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4220411424 is about 64964.6936727943. The cubic root of 4220411424 is about 1616.0381040259.

Adding to 4220411424 its reverse (4241140224), we get a palindrome (8461551648).

It can be divided in two parts, 42204 and 11424, that added together give a triangular number (53628 = T₃₂₇).

The spelling of 4220411424 in words is "four billion, two hundred twenty million, four hundred eleven thousand, four hundred twenty-four".