2434406464144 has 20 divisors (see below), whose sum is σ = 4718909689200. Its totient is φ = 1216623318560.

The previous prime is 2434406464117. The next prime is 2434406464169. The reversal of 2434406464144 is 4414646044342.

It is a junction number, because it is equal to n+sod(n) for n = 2434406464094 and 2434406464103.

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 3 ways as a sum of consecutive naturals, for example, 36209962 + ... + 36277129.

It is an arithmetic number, because the mean of its divisors is an integer number (235945484460).

Almost surely, 2^{2434406464144} is an apocalyptic number.

It is an amenable number.

2434406464144 is a deficient number, since it is larger than the sum of its proper divisors (2284503225056).

2434406464144 is a wasteful number, since it uses less digits than its factorization.

2434406464144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72489198 (or 72489192 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 46.

The spelling of 2434406464144 in words is "two trillion, four hundred thirty-four billion, four hundred six million, four hundred sixty-four thousand, one hundred forty-four".