424114434144 has 72 divisors (see below), whose sum is σ = 1206406793592. Its totient is φ = 141332636160.

The previous prime is 424114434119. The next prime is 424114434167. The reversal of 424114434144 is 441434411424.

424114434144 is a `hidden beast` number, since 42 + 41 + 1 + 4 + 434 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 424114434099 and 424114434108.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 857359 + ... + 1258289.

It is an arithmetic number, because the mean of its divisors is an integer number (16755649911).

Almost surely, 2^424114434144 is an apocalyptic number.

It is an amenable number.

424114434144 is an abundant number, since it is smaller than the sum of its proper divisors (782292359448).

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

424114434144 is a wasteful number, since it uses less digits than its factorization.

424114434144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404620 (or 404609 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

Adding to 424114434144 its reverse (441434411424), we get a palindrome (865548845568).

The spelling of 424114434144 in words is "four hundred twenty-four billion, one hundred fourteen million, four hundred thirty-four thousand, one hundred forty-four".