4000000004 has 96 divisors (see below), whose sum is σ = 9893452800. Its totient is φ = 1362821760.

The previous prime is 3999999979. The next prime is 4000000007.

It is a happy number.

4000000004 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 3999999928 and 4000000000.

It is not an unprimeable number, because it can be changed into a prime (4000000007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49787 + ... + 102365.

It is an arithmetic number, because the mean of its divisors is an integer number (103056800).

Almost surely, 2^4000000004 is an apocalyptic number.

4000000004 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 4000000004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946726400).

4000000004 is an abundant number, since it is smaller than the sum of its proper divisors (5893452796).

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

4000000004 is a wasteful number, since it uses less digits than its factorization.

4000000004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52633 (or 52631 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 4000000004 is about 63245.5532349904. The cubic root of 4000000004 is about 1587.4010524973.

It can be divided in two parts, 400000000 and 4, that multiplied together give a 4-th power (1600000000 = 200⁴).

The spelling of 4000000004 in words is "four billion, four", and thus it is an aban number and an eban number.