4234133031040 has 256 divisors, whose sum is σ = 11634447052800. Its totient is φ = 1458437713920.

The previous prime is 4234133031001. The next prime is 4234133031053. The reversal of 4234133031040 is 401303314324.

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 31 ways as a sum of consecutive naturals, for example, 16550821 + ... + 16804699.

It is an arithmetic number, because the mean of its divisors is an integer number (45447058800).

Almost surely, 2^{4234133031040} is an apocalyptic number.

4234133031040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234133031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5817223526400).

4234133031040 is an abundant number, since it is smaller than the sum of its proper divisors (7400314021760).

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

4234133031040 is a wasteful number, since it uses less digits than its factorization.

4234133031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254035 (or 254023 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 4234133031040 its reverse (401303314324), we get a palindrome (4635436345364).

The spelling of 4234133031040 in words is "four trillion, two hundred thirty-four billion, one hundred thirty-three million, thirty-one thousand, forty".