4242297920 has 224 divisors, whose sum is σ = 12016435200. Its totient is φ = 1395947520.

The previous prime is 4242297911. The next prime is 4242297923. The reversal of 4242297920 is 297922424.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (4242297923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13818407 + ... + 13818713.

It is an arithmetic number, because the mean of its divisors is an integer number (53644800).

Almost surely, 2^4242297920 is an apocalyptic number.

4242297920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6008217600).

4242297920 is an abundant number, since it is smaller than the sum of its proper divisors (7774137280).

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

4242297920 is a wasteful number, since it uses less digits than its factorization.

4242297920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 4242297920 is about 65132.9250072496. The cubic root of 4242297920 is about 1618.8268089750.

The spelling of 4242297920 in words is "four billion, two hundred forty-two million, two hundred ninety-seven thousand, nine hundred twenty".