4213142424 has 80 divisors (see below), whose sum is σ = 11833015920. Its totient is φ = 1400535360.

The previous prime is 4213142399. The next prime is 4213142467. The reversal of 4213142424 is 4242413124.

4213142424 is a `hidden beast` number, since 4 + 213 + 1 + 424 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 232989 + ... + 250419.

It is an arithmetic number, because the mean of its divisors is an integer number (147912699).

Almost surely, 2^4213142424 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 4213142424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5916507960).

4213142424 is an abundant number, since it is smaller than the sum of its proper divisors (7619873496).

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

4213142424 is a wasteful number, since it uses less digits than its factorization.

4213142424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17822 (or 17809 counting only the distinct ones).

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

The square root of 4213142424 is about 64908.7237896417. The cubic root of 4213142424 is about 1615.1097797172.

Adding to 4213142424 its reverse (4242413124), we get a palindrome (8455555548).

The spelling of 4213142424 in words is "four billion, two hundred thirteen million, one hundred forty-two thousand, four hundred twenty-four".