14134445040 has 160 divisors (see below), whose sum is σ = 47611238400. Its totient is φ = 3455585280.

The previous prime is 14134445033. The next prime is 14134445057. The reversal of 14134445040 is 4054443141.

14134445040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14134444989 and 14134445007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91366 + ... + 191354.

It is an arithmetic number, because the mean of its divisors is an integer number (297570240).

Almost surely, 2^14134445040 is an apocalyptic number.

14134445040 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 14134445040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23805619200).

14134445040 is an abundant number, since it is smaller than the sum of its proper divisors (33476793360).

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

14134445040 is a wasteful number, since it uses less digits than its factorization.

14134445040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100055 (or 100049 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 14134445040 its reverse (4054443141), we get a palindrome (18188888181).

The spelling of 14134445040 in words is "fourteen billion, one hundred thirty-four million, four hundred forty-five thousand, forty".