234410241440 has 96 divisors (see below), whose sum is σ = 567315451584. Its totient is φ = 91500963840.

The previous prime is 234410241431. The next prime is 234410241463. The reversal of 234410241440 is 44142014432.

234410241440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×234410241440² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1044860 + ... + 1249220.

It is an arithmetic number, because the mean of its divisors is an integer number (5909535954).

Almost surely, 2^234410241440 is an apocalyptic number.

234410241440 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 234410241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283657725792).

234410241440 is an abundant number, since it is smaller than the sum of its proper divisors (332905210144).

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

234410241440 is a wasteful number, since it uses less digits than its factorization.

234410241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204550 (or 204542 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 234410241440 its reverse (44142014432), we get a palindrome (278552255872).

The spelling of 234410241440 in words is "two hundred thirty-four billion, four hundred ten million, two hundred forty-one thousand, four hundred forty".