240533234031232 has 128 divisors (see below), whose sum is σ = 489069254016000. Its totient is φ = 117811524639744.

The previous prime is 240533234031227. The next prime is 240533234031247. The reversal of 240533234031232 is 232130432335042.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 240533234031191 and 240533234031200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2140623883 + ... + 2140736245.

It is an arithmetic number, because the mean of its divisors is an integer number (3820853547000).

Almost surely, 2^{240533234031232} 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 240533234031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244534627008000).

240533234031232 is an abundant number, since it is smaller than the sum of its proper divisors (248536019984768).

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

240533234031232 is a wasteful number, since it uses less digits than its factorization.

240533234031232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114118 (or 114106 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 37.

Adding to 240533234031232 its reverse (232130432335042), we get a palindrome (472663666366274).

The spelling of 240533234031232 in words is "two hundred forty trillion, five hundred thirty-three billion, two hundred thirty-four million, thirty-one thousand, two hundred thirty-two".