233434011253440 has 112 divisors (see below), whose sum is σ = 743682519000288. Its totient is φ = 62036615430144.

The previous prime is 233434011253273. The next prime is 233434011253451. The reversal of 233434011253440 is 44352110434332.

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 15 ways as a sum of consecutive naturals, for example, 414668257 + ... + 415230816.

It is an arithmetic number, because the mean of its divisors is an integer number (6640022491074).

Almost surely, 2^{233434011253440} is an apocalyptic number.

233434011253440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233434011253440 is an abundant number, since it is smaller than the sum of its proper divisors (510248507746848).

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

233434011253440 is a wasteful number, since it uses less digits than its factorization.

233434011253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829899386 (or 829899376 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

Adding to 233434011253440 its reverse (44352110434332), we get a palindrome (277786121687772).

The spelling of 233434011253440 in words is "two hundred thirty-three trillion, four hundred thirty-four billion, eleven million, two hundred fifty-three thousand, four hundred forty".