4004103040 has 128 divisors (see below), whose sum is σ = 10965816000. Its totient is φ = 1369571328.

The previous prime is 4004103031. The next prime is 4004103043. The reversal of 4004103040 is 403014004.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004103043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2584186 + ... + 2585734.

Almost surely, 2^4004103040 is an apocalyptic number.

4004103040 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 4004103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5482908000).

4004103040 is an abundant number, since it is smaller than the sum of its proper divisors (6961712960).

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

4004103040 is a wasteful number, since it uses less digits than its factorization.

4004103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4004103040 is about 63277.9822687165. The cubic root of 4004103040 is about 1587.9436306596.

Adding to 4004103040 its reverse (403014004), we get a palindrome (4407117044).

The spelling of 4004103040 in words is "four billion, four million, one hundred three thousand, forty".