4284507840 has 112 divisors (see below), whose sum is σ = 13616257248. Its totient is φ = 1141448704.

The previous prime is 4284507817. The next prime is 4284507853. The reversal of 4284507840 is 487054824.

4284507840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4284507792 and 4284507801.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1835314 + ... + 1837646.

Almost surely, 2^4284507840 is an apocalyptic number.

4284507840 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 4284507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6808128624).

4284507840 is an abundant number, since it is smaller than the sum of its proper divisors (9331749408).

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

4284507840 is a wasteful number, since it uses less digits than its factorization.

4284507840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4266 (or 4256 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 42.

The square root of 4284507840 is about 65456.1520408892. The cubic root of 4284507840 is about 1624.1780888120.

The spelling of 4284507840 in words is "four billion, two hundred eighty-four million, five hundred seven thousand, eight hundred forty".