14006931840 has 192 divisors, whose sum is σ = 52764987600. Its totient is φ = 3395604480.

The previous prime is 14006931797. The next prime is 14006931847. The reversal of 14006931840 is 4813960041.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14006931795 and 14006931804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14006931847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47175 + ... + 173894.

Almost surely, 2^14006931840 is an apocalyptic number.

14006931840 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 14006931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26382493800).

14006931840 is an abundant number, since it is smaller than the sum of its proper divisors (38758055760).

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

14006931840 is a wasteful number, since it uses less digits than its factorization.

14006931840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221105 (or 221090 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 14006931840 in words is "fourteen billion, six million, nine hundred thirty-one thousand, eight hundred forty".