4004345440 has 48 divisors (see below), whose sum is σ = 9467167248. Its totient is φ = 1600569856.

The previous prime is 4004345417. The next prime is 4004345473. The reversal of 4004345440 is 445434004.

It is a junction number, because it is equal to n+sod(n) for n = 4004345399 and 4004345408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230499 + ... + 247261.

It is an arithmetic number, because the mean of its divisors is an integer number (197232651).

Almost surely, 2^4004345440 is an apocalyptic number.

4004345440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004345440 is an abundant number, since it is smaller than the sum of its proper divisors (5462821808).

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

4004345440 is a wasteful number, since it uses less digits than its factorization.

4004345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18271 (or 18263 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

The square root of 4004345440 is about 63279.8975978944. The cubic root of 4004345440 is about 1587.9756736054.

Adding to 4004345440 its reverse (445434004), we get a palindrome (4449779444).

The spelling of 4004345440 in words is "four billion, four million, three hundred forty-five thousand, four hundred forty".