2432144412342 has 48 divisors (see below), whose sum is σ = 5514183689040. Its totient is φ = 773920495296.

The previous prime is 2432144412337. The next prime is 2432144412367.

2432144412342 is a `hidden beast` number, since 2 + 432 + 144 + 41 + 2 + 3 + 42 = 666.

2432144412342 is nontrivially palindromic in base 10.

2432144412342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2432144412342³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2432144412297 and 2432144412306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34416292 + ... + 34486887.

It is an arithmetic number, because the mean of its divisors is an integer number (114878826855).

Almost surely, 2^{2432144412342} is an apocalyptic number.

2432144412342 is an abundant number, since it is smaller than the sum of its proper divisors (3082039276698).

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

2432144412342 is a wasteful number, since it uses less digits than its factorization.

2432144412342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68903277 (or 68903274 counting only the distinct ones).

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

The spelling of 2432144412342 in words is "two trillion, four hundred thirty-two billion, one hundred forty-four million, four hundred twelve thousand, three hundred forty-two".