4000010004 has 36 divisors (see below), whose sum is σ = 10115725620. Its totient is φ = 1332731520.

The previous prime is 4000009973. The next prime is 4000010009. The reversal of 4000010004 is 4000100004.

It can be written as a sum of positive squares in 2 ways, for example, as 3125033604 + 874976400 = 55902^2 + 29580^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000010009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59064 + ... + 107184.

Almost surely, 2^4000010004 is an apocalyptic number.

It is an amenable number.

4000010004 is an abundant number, since it is smaller than the sum of its proper divisors (6115715616).

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

4000010004 is a wasteful number, since it uses less digits than its factorization.

4000010004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50440 (or 50435 counting only the distinct ones).

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

The square root of 4000010004 is about 63245.6322918824. The cubic root of 4000010004 is about 1587.4023753304.

Adding to 4000010004 its reverse (4000100004), we get a palindrome (8000110008).

Subtracting 4000010004 from its reverse (4000100004), we obtain a square (90000 = 300²).

The spelling of 4000010004 in words is "four billion, ten thousand, four".