14689400640 has 112 divisors (see below), whose sum is σ = 47119958592. Its totient is φ = 3876765696.

The previous prime is 14689400629. The next prime is 14689400641. The reversal of 14689400640 is 4600498641.

It is a junction number, because it is equal to n+sod(n) for n = 14689400592 and 14689400601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14689400641) 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, 14247 + ... + 171993.

It is an arithmetic number, because the mean of its divisors is an integer number (420713916).

Almost surely, 2^14689400640 is an apocalyptic number.

14689400640 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 14689400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23559979296).

14689400640 is an abundant number, since it is smaller than the sum of its proper divisors (32430557952).

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

14689400640 is a wasteful number, since it uses less digits than its factorization.

14689400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157864 (or 157854 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 14689400640 in words is "fourteen billion, six hundred eighty-nine million, four hundred thousand, six hundred forty".