4124440134342 has 72 divisors (see below), whose sum is σ = 10161238389120. Its totient is φ = 1206732727200.

The previous prime is 4124440134293. The next prime is 4124440134343. The reversal of 4124440134342 is 2434310444214.

4124440134342 is a `hidden beast` number, since 4 + 1 + 244 + 40 + 1 + 34 + 342 = 666.

It is a super-2 number, since 2×4124440134342² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4124440134297 and 4124440134306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4124440134343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32586534 + ... + 32712857.

It is an arithmetic number, because the mean of its divisors is an integer number (141128310960).

Almost surely, 2^{4124440134342} is an apocalyptic number.

4124440134342 is an abundant number, since it is smaller than the sum of its proper divisors (6036798254778).

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

4124440134342 is a wasteful number, since it uses less digits than its factorization.

4124440134342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65299450 (or 65299436 counting only the distinct ones).

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

Adding to 4124440134342 its reverse (2434310444214), we get a palindrome (6558750578556).

The spelling of 4124440134342 in words is "four trillion, one hundred twenty-four billion, four hundred forty million, one hundred thirty-four thousand, three hundred forty-two".