4233131134344 has 192 divisors, whose sum is σ = 13144655946240. Its totient is φ = 1205583667200.

The previous prime is 4233131134327. The next prime is 4233131134357. The reversal of 4233131134344 is 4434311313324.

4233131134344 is a `hidden beast` number, since 4 + 2 + 331 + 311 + 3 + 4 + 3 + 4 + 4 = 666.

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 = 4233131134299 and 4233131134308.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313860769 + ... + 313874255.

It is an arithmetic number, because the mean of its divisors is an integer number (68461749720).

Almost surely, 2^{4233131134344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4233131134344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6572327973120).

4233131134344 is an abundant number, since it is smaller than the sum of its proper divisors (8911524811896).

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

4233131134344 is a wasteful number, since it uses less digits than its factorization.

4233131134344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15460 (or 15453 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 4233131134344 its reverse (4434311313324), we get a palindrome (8667442447668).

The spelling of 4233131134344 in words is "four trillion, two hundred thirty-three billion, one hundred thirty-one million, one hundred thirty-four thousand, three hundred forty-four".