4233142024300 has 144 divisors (see below), whose sum is σ = 10785042088128. Its totient is φ = 1411728998400.

The previous prime is 4233142024283. The next prime is 4233142024361. The reversal of 4233142024300 is 34202413324.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 97388172 + ... + 97431628.

It is an arithmetic number, because the mean of its divisors is an integer number (74896125612).

Almost surely, 2^{4233142024300} 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 4233142024300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5392521044064).

4233142024300 is an abundant number, since it is smaller than the sum of its proper divisors (6551900063828).

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

4233142024300 is a wasteful number, since it uses less digits than its factorization.

4233142024300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47276 (or 47269 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 4233142024300 its reverse (34202413324), we get a palindrome (4267344437624).

The spelling of 4233142024300 in words is "four trillion, two hundred thirty-three billion, one hundred forty-two million, twenty-four thousand, three hundred".