4084265376 has 144 divisors (see below), whose sum is σ = 12311611200. Its totient is φ = 1317237120.

The previous prime is 4084265321. The next prime is 4084265491. The reversal of 4084265376 is 6735624804.

4084265376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 827845 + ... + 832763.

It is an arithmetic number, because the mean of its divisors is an integer number (85497300).

Almost surely, 2^4084265376 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 4084265376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6155805600).

4084265376 is an abundant number, since it is smaller than the sum of its proper divisors (8227345824).

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

4084265376 is a wasteful number, since it uses less digits than its factorization.

4084265376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5000 (or 4955 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 4084265376 is about 63908.2574946305. The cubic root of 4084265376 is about 1598.4705927033.

The spelling of 4084265376 in words is "four billion, eighty-four million, two hundred sixty-five thousand, three hundred seventy-six".