4002314431440 has 160 divisors (see below), whose sum is σ = 13499321988096. Its totient is φ = 975028469760.

The previous prime is 4002314431391. The next prime is 4002314431457. The reversal of 4002314431440 is 441344132004.

It is a super-3 number, since 3×4002314431440³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4002314431398 and 4002314431407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6309696 + ... + 6914975.

Almost surely, 2^{4002314431440} is an apocalyptic number.

4002314431440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002314431440 is an abundant number, since it is smaller than the sum of its proper divisors (9497007556656).

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

4002314431440 is a wasteful number, since it uses less digits than its factorization.

4002314431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13224797 (or 13224791 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4002314431440 its reverse (441344132004), we get a palindrome (4443658563444).

The spelling of 4002314431440 in words is "four trillion, two billion, three hundred fourteen million, four hundred thirty-one thousand, four hundred forty".