234953183040 has 224 divisors, whose sum is σ = 767177357184. Its totient is φ = 60885565440.

The previous prime is 234953183021. The next prime is 234953183051. The reversal of 234953183040 is 40381359432.

It is a junction number, because it is equal to n+sod(n) for n = 234953182983 and 234953183001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10103907 + ... + 10127133.

It is an arithmetic number, because the mean of its divisors is an integer number (3424898916).

Almost surely, 2^234953183040 is an apocalyptic number.

234953183040 is a gapful number since it is divisible by the number (20) 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 234953183040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383588678592).

234953183040 is an abundant number, since it is smaller than the sum of its proper divisors (532224174144).

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

234953183040 is a wasteful number, since it uses less digits than its factorization.

234953183040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23545 (or 23535 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 234953183040 in words is "two hundred thirty-four billion, nine hundred fifty-three million, one hundred eighty-three thousand, forty".