10234034042240 has 128 divisors (see below), whose sum is σ = 25058199117600. Its totient is φ = 3994661486592.

The previous prime is 10234034042231. The next prime is 10234034042341. The reversal of 10234034042240 is 4224043043201.

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

It is a congruent number.

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, 29244944 + ... + 29592816.

Almost surely, 2^{10234034042240} is an apocalyptic number.

10234034042240 is a gapful number since it is divisible by the number (10) 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 10234034042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12529099558800).

10234034042240 is an abundant number, since it is smaller than the sum of its proper divisors (14824165075360).

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

10234034042240 is a wasteful number, since it uses less digits than its factorization.

10234034042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349004 (or 348992 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 10234034042240 its reverse (4224043043201), we get a palindrome (14458077085441).

The spelling of 10234034042240 in words is "ten trillion, two hundred thirty-four billion, thirty-four million, forty-two thousand, two hundred forty".