4001001004 has 72 divisors (see below), whose sum is σ = 9472277024. Its totient is φ = 1438905600.

The previous prime is 4001000999. The next prime is 4001001013.

4001001004 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4001001004³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1377 + ... + 89464.

Almost surely, 2^4001001004 is an apocalyptic number.

4001001004 is a gapful number since it is divisible by the number (44) 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 4001001004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4736138512).

4001001004 is an abundant number, since it is smaller than the sum of its proper divisors (5471276020).

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

4001001004 is a wasteful number, since it uses less digits than its factorization.

4001001004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90887 (or 90874 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 4001001004 is about 63253.4663397983. The cubic root of 4001001004 is about 1587.5334571575.

It can be divided in two parts, 400100 and 1004, that added together give a palindrome (401104).

The spelling of 4001001004 in words is "four billion, one million, one thousand, four".