10240232142432 has 24 divisors (see below), whose sum is σ = 26880609374136. Its totient is φ = 3413410714112.

The previous prime is 10240232142383. The next prime is 10240232142433. The reversal of 10240232142432 is 23424123204201.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10240232142432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10240232142433) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 53334542313 + ... + 53334542504.

It is an arithmetic number, because the mean of its divisors is an integer number (1120025390589).

Almost surely, 2^{10240232142432} is an apocalyptic number.

10240232142432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10240232142432 is an abundant number, since it is smaller than the sum of its proper divisors (16640377231704).

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

10240232142432 is a wasteful number, since it uses less digits than its factorization.

10240232142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106669084830 (or 106669084822 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 10240232142432 its reverse (23424123204201), we get a palindrome (33664355346633).

The spelling of 10240232142432 in words is "ten trillion, two hundred forty billion, two hundred thirty-two million, one hundred forty-two thousand, four hundred thirty-two".