4004260000 has 120 divisors (see below), whose sum is σ = 10609544484. Its totient is φ = 1478400000.

The previous prime is 4004259983. The next prime is 4004260009. The reversal of 4004260000 is 624004.

It can be written as a sum of positive squares in 10 ways, for example, as 63936016 + 3940323984 = 7996^2 + 62772^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (4004260009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 252300 + ... + 267700.

Almost surely, 2^4004260000 is an apocalyptic number.

4004260000 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 4004260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5304772242).

4004260000 is an abundant number, since it is smaller than the sum of its proper divisors (6605284484).

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

4004260000 is a wasteful number, since it uses less digits than its factorization.

4004260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15444 (or 15421 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4004260000 is about 63279.2224983841. Note that the first 3 decimals coincide. The cubic root of 4004260000 is about 1587.9643794077.

Adding to 4004260000 its reverse (624004), we get a palindrome (4004884004).

The spelling of 4004260000 in words is "four billion, four million, two hundred sixty thousand".