4242716460 has 144 divisors (see below), whose sum is σ = 13059621120. Its totient is φ = 1114819200.

The previous prime is 4242716383. The next prime is 4242716483. The reversal of 4242716460 is 646172424.

4242716460 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 7 + 1 + 646 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3777459 + ... + 3778581.

Almost surely, 2^4242716460 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 4242716460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6529810560).

4242716460 is an abundant number, since it is smaller than the sum of its proper divisors (8816904660).

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

4242716460 is a wasteful number, since it uses less digits than its factorization.

4242716460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4242716460 is about 65136.1378959484. The cubic root of 4242716460 is about 1618.8800443916.

Adding to 4242716460 its reverse (646172424), we get a palindrome (4888888884).

The spelling of 4242716460 in words is "four billion, two hundred forty-two million, seven hundred sixteen thousand, four hundred sixty".