4233540453324 has 384 divisors, whose sum is σ = 13916829911040. Its totient is φ = 968641265664.

The previous prime is 4233540453319. The next prime is 4233540453347.

4233540453324 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12888294 + ... + 13212690.

It is an arithmetic number, because the mean of its divisors is an integer number (36241744560).

Almost surely, 2^{4233540453324} 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 4233540453324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6958414955520).

4233540453324 is an abundant number, since it is smaller than the sum of its proper divisors (9683289457716).

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

4233540453324 is a wasteful number, since it uses less digits than its factorization.

4233540453324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324497 (or 324495 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 42.

It can be divided in two parts, 4233540 and 453324, that added together give a palindrome (4686864).

The spelling of 4233540453324 in words is "four trillion, two hundred thirty-three billion, five hundred forty million, four hundred fifty-three thousand, three hundred twenty-four".