4242319704 has 256 divisors, whose sum is σ = 13847500800. Its totient is φ = 1178371584.

The previous prime is 4242319661. The next prime is 4242319721. The reversal of 4242319704 is 4079132424.

4242319704 is a `hidden beast` number, since 42 + 423 + 197 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13382554 + ... + 13382870.

It is an arithmetic number, because the mean of its divisors is an integer number (54091800).

Almost surely, 2^4242319704 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 4242319704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6923750400).

4242319704 is an abundant number, since it is smaller than the sum of its proper divisors (9605181096).

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

4242319704 is a wasteful number, since it uses less digits than its factorization.

4242319704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4242319704 is about 65133.0922342859. The cubic root of 4242319704 is about 1618.8295798367.

The spelling of 4242319704 in words is "four billion, two hundred forty-two million, three hundred nineteen thousand, seven hundred four".