4233142334340 has 192 divisors, whose sum is σ = 13303189509120. Its totient is φ = 1117407628800.

The previous prime is 4233142334339. The next prime is 4233142334383. The reversal of 4233142334340 is 434332413324.

4233142334340 is a `hidden beast` number, since 4 + 2 + 3 + 314 + 2 + 334 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4233142334295 and 4233142334304.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 479020402 + ... + 479029238.

It is an arithmetic number, because the mean of its divisors is an integer number (69287445360).

Almost surely, 2^{4233142334340} 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 4233142334340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6651594754560).

4233142334340 is an abundant number, since it is smaller than the sum of its proper divisors (9070047174780).

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

4233142334340 is a wasteful number, since it uses less digits than its factorization.

4233142334340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17739 (or 17731 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 4233142334340 its reverse (434332413324), we get a palindrome (4667474747664).

The spelling of 4233142334340 in words is "four trillion, two hundred thirty-three billion, one hundred forty-two million, three hundred thirty-four thousand, three hundred forty".