14134414430040 has 128 divisors (see below), whose sum is σ = 43029239048640. Its totient is φ = 3713641537536.

The previous prime is 14134414430039. The next prime is 14134414430041. The reversal of 14134414430040 is 4003441443141.

14134414430040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14134414430039) and next prime (14134414430041).

It is a junction number, because it is equal to n+sod(n) for n = 14134414429983 and 14134414430010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14134414430041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7501734 + ... + 9194826.

Almost surely, 2^{14134414430040} is an apocalyptic number.

14134414430040 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 14134414430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21514619524320).

14134414430040 is an abundant number, since it is smaller than the sum of its proper divisors (28894824618600).

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

14134414430040 is a wasteful number, since it uses less digits than its factorization.

14134414430040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694133 (or 1694129 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 14134414430040 its reverse (4003441443141), we get a palindrome (18137855873181).

The spelling of 14134414430040 in words is "fourteen trillion, one hundred thirty-four billion, four hundred fourteen million, four hundred thirty thousand, forty".