14012142432 has 96 divisors (see below), whose sum is σ = 38617544448. Its totient is φ = 4440116736.

The previous prime is 14012142421. The next prime is 14012142437. The reversal of 14012142432 is 23424121041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14012142437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340438 + ... + 379370.

It is an arithmetic number, because the mean of its divisors is an integer number (402266088).

Almost surely, 2^14012142432 is an apocalyptic number.

14012142432 is a gapful number since it is divisible by the number (12) 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 14012142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19308772224).

14012142432 is an abundant number, since it is smaller than the sum of its proper divisors (24605402016).

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

14012142432 is a wasteful number, since it uses less digits than its factorization.

14012142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39132 (or 39124 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14012142432 its reverse (23424121041), we get a palindrome (37436263473).

The spelling of 14012142432 in words is "fourteen billion, twelve million, one hundred forty-two thousand, four hundred thirty-two".