14200340040 has 320 divisors, whose sum is σ = 50770748160. Its totient is φ = 3547514880.

The previous prime is 14200340039. The next prime is 14200340053. The reversal of 14200340040 is 4004300241.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14200339995 and 14200340022.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15587185 + ... + 15588095.

It is an arithmetic number, because the mean of its divisors is an integer number (158658588).

Almost surely, 2^14200340040 is an apocalyptic number.

14200340040 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 14200340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25385374080).

14200340040 is an abundant number, since it is smaller than the sum of its proper divisors (36570408120).

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

14200340040 is a wasteful number, since it uses less digits than its factorization.

14200340040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 14200340040 its reverse (4004300241), we get a palindrome (18204640281).

The spelling of 14200340040 in words is "fourteen billion, two hundred million, three hundred forty thousand, forty".