4140344430414 has 48 divisors (see below), whose sum is σ = 9229334914800. Its totient is φ = 1340462597760.

The previous prime is 4140344430361. The next prime is 4140344430419.

4140344430414 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 344 + 4 + 304 + 1 + 4 = 666.

4140344430414 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4140344430414² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140344430419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5063439 + ... + 5824010.

It is an arithmetic number, because the mean of its divisors is an integer number (192277810725).

Almost surely, 2^{4140344430414} is an apocalyptic number.

4140344430414 is an abundant number, since it is smaller than the sum of its proper divisors (5088990484386).

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

4140344430414 is a wasteful number, since it uses less digits than its factorization.

4140344430414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10888065 (or 10888062 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 4140344430414 in words is "four trillion, one hundred forty billion, three hundred forty-four million, four hundred thirty thousand, four hundred fourteen".