4004322013344 has 48 divisors (see below), whose sum is σ = 11064573989280. Its totient is φ = 1264522740480.

The previous prime is 4004322013343. The next prime is 4004322013357. The reversal of 4004322013344 is 4433102234004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (4004322013343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1097674167 + ... + 1097677814.

It is an arithmetic number, because the mean of its divisors is an integer number (230511958110).

Almost surely, 2^{4004322013344} is an apocalyptic number.

It is an amenable number.

4004322013344 is an abundant number, since it is smaller than the sum of its proper divisors (7060251975936).

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

4004322013344 is a wasteful number, since it uses less digits than its factorization.

4004322013344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195352013 (or 2195352005 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 4004322013344 its reverse (4433102234004), we get a palindrome (8437424247348).

The spelling of 4004322013344 in words is "four trillion, four billion, three hundred twenty-two million, thirteen thousand, three hundred forty-four".