4287909120 has 144 divisors (see below), whose sum is σ = 14939612352. Its totient is φ = 1039482880.

The previous prime is 4287909091. The next prime is 4287909127. The reversal of 4287909120 is 219097824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4287909127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8517 + ... + 92996.

It is an arithmetic number, because the mean of its divisors is an integer number (103747308).

Almost surely, 2^4287909120 is an apocalyptic number.

4287909120 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 4287909120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469806176).

4287909120 is an abundant number, since it is smaller than the sum of its proper divisors (10651703232).

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

4287909120 is a wasteful number, since it uses less digits than its factorization.

4287909120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101548 (or 101534 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 4287909120 is about 65482.1282488589. The cubic root of 4287909120 is about 1624.6077626876.

The spelling of 4287909120 in words is "four billion, two hundred eighty-seven million, nine hundred nine thousand, one hundred twenty".