4000001304 has 128 divisors (see below), whose sum is σ = 11001312000. Its totient is φ = 1204498944.

The previous prime is 4000001297. The next prime is 4000001311. The reversal of 4000001304 is 4031000004.

It is an interprime number because it is at equal distance from previous prime (4000001297) and next prime (4000001311).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 4000001304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3741282 + ... + 3742350.

It is an arithmetic number, because the mean of its divisors is an integer number (85947750).

Almost surely, 2^4000001304 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 4000001304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5500656000).

4000001304 is an abundant number, since it is smaller than the sum of its proper divisors (7001310696).

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

4000001304 is a wasteful number, since it uses less digits than its factorization.

4000001304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4000001304 is about 63245.5635123919. The cubic root of 4000001304 is about 1587.4012244658.

Adding to 4000001304 its reverse (4031000004), we get a palindrome (8031001308).

The spelling of 4000001304 in words is "four billion, one thousand, three hundred four".