4233134313324 has 144 divisors (see below), whose sum is σ = 12352225406976. Its totient is φ = 1197289296000.

The previous prime is 4233134313319. The next prime is 4233134313347.

4233134313324 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 13 + 4 + 313 + 324 = 666.

4233134313324 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4233134313324² (a number of 26 digits) contains 22 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214575949 + ... + 214595675.

It is an arithmetic number, because the mean of its divisors is an integer number (85779343104).

Almost surely, 2^{4233134313324} 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 4233134313324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6176112703488).

4233134313324 is an abundant number, since it is smaller than the sum of its proper divisors (8119091093652).

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

4233134313324 is a wasteful number, since it uses less digits than its factorization.

4233134313324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28276 (or 28271 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

The spelling of 4233134313324 in words is "four trillion, two hundred thirty-three billion, one hundred thirty-four million, three hundred thirteen thousand, three hundred twenty-four".