4004001000 has 432 divisors, whose sum is σ = 14652188460. Its totient is φ = 986092800.

The previous prime is 4004000999. The next prime is 4004001047. The reversal of 4004001000 is 1004004.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4004001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 164711556 + 3839289444 = 12834^2 + 61962^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 138068986 + ... + 138069014.

Almost surely, 2^4004001000 is an apocalyptic number.

4004001000 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 4004001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7326094230).

4004001000 is an abundant number, since it is smaller than the sum of its proper divisors (10648187460).

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

4004001000 is a wasteful number, since it uses less digits than its factorization.

4004001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 4004001000 is about 63277.1759799693. The cubic root of 4004001000 is about 1587.9301415675.

Adding to 4004001000 its reverse (1004004), we get a palindrome (4005005004).

The spelling of 4004001000 in words is "four billion, four million, one thousand".