4002314641304 has 64 divisors (see below), whose sum is σ = 9037252684800. Its totient is φ = 1623294376704.

The previous prime is 4002314641279. The next prime is 4002314641309. The reversal of 4002314641304 is 4031464132004.

It is a super-3 number, since 3×4002314641304³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002314641309) 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, 959552 + ... + 2987535.

It is an arithmetic number, because the mean of its divisors is an integer number (141207073200).

Almost surely, 2^{4002314641304} is an apocalyptic number.

It is an amenable number.

4002314641304 is an abundant number, since it is smaller than the sum of its proper divisors (5034938043496).

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

4002314641304 is a wasteful number, since it uses less digits than its factorization.

4002314641304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948072 (or 3948068 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 4002314641304 its reverse (4031464132004), we get a palindrome (8033778773308).

The spelling of 4002314641304 in words is "four trillion, two billion, three hundred fourteen million, six hundred forty-one thousand, three hundred four".