4001000000 has 98 divisors (see below), whose sum is σ = 9926708874. Its totient is φ = 1600000000.

The previous prime is 4000999991. The next prime is 4001000009. The reversal of 4001000000 is 1004.

4001000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4000999991) and next prime (4001000009).

It can be written as a sum of positive squares in 7 ways, for example, as 3593283136 + 407716864 = 59944^2 + 20192^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (4001000009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 998000 + ... + 1002000.

Almost surely, 2^4001000000 is an apocalyptic number.

4001000000 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 4001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4963354437).

4001000000 is an abundant number, since it is smaller than the sum of its proper divisors (5925708874).

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

4001000000 is an frugal number, since it uses more digits than its factorization.

4001000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4043 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 4001000000 is about 63253.4584034739. The cubic root of 4001000000 is about 1587.5333243671.

Adding to 4001000000 its reverse (1004), we get a palindrome (4001001004).

The spelling of 4001000000 in words is "four billion, one million", and thus it is an aban number.