4214312424 has 144 divisors (see below), whose sum is σ = 13368010500. Its totient is φ = 1195858944.

The previous prime is 4214312407. The next prime is 4214312447. The reversal of 4214312424 is 4242134124.

It can be written as a sum of positive squares in 2 ways, for example, as 4080909924 + 133402500 = 63882^2 + 11550^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 521664 + ... + 529680.

Almost surely, 2^4214312424 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 4214312424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6684005250).

4214312424 is an abundant number, since it is smaller than the sum of its proper divisors (9153698076).

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

4214312424 is a wasteful number, since it uses less digits than its factorization.

4214312424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8192 (or 8178 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 4214312424 is about 64917.7358200361. The cubic root of 4214312424 is about 1615.2592725309.

Adding to 4214312424 its reverse (4242134124), we get a palindrome (8456446548).

The spelling of 4214312424 in words is "four billion, two hundred fourteen million, three hundred twelve thousand, four hundred twenty-four".