4314404134040 has 192 divisors, whose sum is σ = 13266470316960. Its totient is φ = 1241307002880.

The previous prime is 4314404134021. The next prime is 4314404134049. The reversal of 4314404134040 is 404314044134.

It is a super-2 number, since 2×4314404134040² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4314404133988 and 4314404134006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314404134049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7416317 + ... + 7976876.

Almost surely, 2^{4314404134040} is an apocalyptic number.

4314404134040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4314404134040 is an abundant number, since it is smaller than the sum of its proper divisors (8952066182920).

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

4314404134040 is a wasteful number, since it uses less digits than its factorization.

4314404134040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15393242 (or 15393231 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4314404134040 its reverse (404314044134), we get a palindrome (4718718178174).

It can be divided in two parts, 4314404 and 134040, that added together give a palindrome (4448444).

The spelling of 4314404134040 in words is "four trillion, three hundred fourteen billion, four hundred four million, one hundred thirty-four thousand, forty".