14005003131340 has 192 divisors, whose sum is σ = 33393197376000. Its totient is φ = 4897951027200.

The previous prime is 14005003131263. The next prime is 14005003131349. The reversal of 14005003131340 is 4313130050041.

It is a super-2 number, since 2×14005003131340² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14005003131349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82923501 + ... + 83092219.

It is an arithmetic number, because the mean of its divisors is an integer number (173922903000).

Almost surely, 2^{14005003131340} is an apocalyptic number.

14005003131340 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 14005003131340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16696598688000).

14005003131340 is an abundant number, since it is smaller than the sum of its proper divisors (19388194244660).

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

14005003131340 is a wasteful number, since it uses less digits than its factorization.

14005003131340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168980 (or 168978 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 14005003131340 its reverse (4313130050041), we get a palindrome (18318133181381).

The spelling of 14005003131340 in words is "fourteen trillion, five billion, three million, one hundred thirty-one thousand, three hundred forty".