4431134322144 has 72 divisors (see below), whose sum is σ = 12636735510672. Its totient is φ = 1472860477440.

The previous prime is 4431134322143. The next prime is 4431134322169. The reversal of 4431134322144 is 4412234311344.

4431134322144 is a `hidden beast` number, since 4 + 4 + 3 + 1 + 1 + 3 + 432 + 214 + 4 = 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 = 4431134322099 and 4431134322108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4431134322143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21691372 + ... + 21894699.

It is an arithmetic number, because the mean of its divisors is an integer number (175510215426).

Almost surely, 2^{4431134322144} is an apocalyptic number.

It is an amenable number.

4431134322144 is an abundant number, since it is smaller than the sum of its proper divisors (8205601188528).

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

4431134322144 is a wasteful number, since it uses less digits than its factorization.

4431134322144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43586440 (or 43586429 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 4431134322144 its reverse (4412234311344), we get a palindrome (8843368633488).

The spelling of 4431134322144 in words is "four trillion, four hundred thirty-one billion, one hundred thirty-four million, three hundred twenty-two thousand, one hundred forty-four".