4259782912 has 144 divisors (see below), whose sum is σ = 10944589824. Its totient is φ = 1605888000.

The previous prime is 4259782889. The next prime is 4259782921. The reversal of 4259782912 is 2192879524.

It is a happy number.

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, 607587 + ... + 614557.

It is an arithmetic number, because the mean of its divisors is an integer number (76004096).

Almost surely, 2^4259782912 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 4259782912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5472294912).

4259782912 is an abundant number, since it is smaller than the sum of its proper divisors (6684806912).

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

4259782912 is a wasteful number, since it uses less digits than its factorization.

4259782912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7036 (or 7022 counting only the distinct ones).

The product of its digits is 725760, while the sum is 49.

The square root of 4259782912 is about 65267.0124335410. The cubic root of 4259782912 is about 1621.0478045880.

The spelling of 4259782912 in words is "four billion, two hundred fifty-nine million, seven hundred eighty-two thousand, nine hundred twelve".