14013434000 has 80 divisors (see below), whose sum is σ = 34151909376. Its totient is φ = 5561136000.

The previous prime is 14013433991. The next prime is 14013434009. The reversal of 14013434000 is 43431041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14013433991) and next prime (14013434009).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (14013434009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226415 + ... + 281585.

Almost surely, 2^14013434000 is an apocalyptic number.

14013434000 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 14013434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17075954688).

14013434000 is an abundant number, since it is smaller than the sum of its proper divisors (20138475376).

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

14013434000 is a wasteful number, since it uses less digits than its factorization.

14013434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55321 (or 55305 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 14013434000 its reverse (43431041), we get a palindrome (14056865041).

The spelling of 14013434000 in words is "fourteen billion, thirteen million, four hundred thirty-four thousand".