4314134014040 has 64 divisors (see below), whose sum is σ = 9716004993600. Its totient is φ = 1724018093568.

The previous prime is 4314134014019. The next prime is 4314134014049. The reversal of 4314134014040 is 404104314134.

It is a super-2 number, since 2×4314134014040² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4314134013994 and 4314134014012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314134014049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 314686706 + ... + 314700414.

It is an arithmetic number, because the mean of its divisors is an integer number (151812578025).

Almost surely, 2^{4314134014040} is an apocalyptic number.

4314134014040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4314134014040 is an abundant number, since it is smaller than the sum of its proper divisors (5401870979560).

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

4314134014040 is a wasteful number, since it uses less digits than its factorization.

4314134014040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20604 (or 20600 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 4314134014040 its reverse (404104314134), we get a palindrome (4718238328174).

The spelling of 4314134014040 in words is "four trillion, three hundred fourteen billion, one hundred thirty-four million, fourteen thousand, forty".