14971703040 has 720 divisors, whose sum is σ = 62622436800. Its totient is φ = 3413975040.

The previous prime is 14971703029. The next prime is 14971703041. The reversal of 14971703040 is 4030717941.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 14971702986 and 14971703004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14971703041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35562030 + ... + 35562450.

Almost surely, 2^14971703040 is an apocalyptic number.

14971703040 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 14971703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31311218400).

14971703040 is an abundant number, since it is smaller than the sum of its proper divisors (47650733760).

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

14971703040 is an frugal number, since it uses more digits than its factorization.

14971703040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 14971703040 in words is "fourteen billion, nine hundred seventy-one million, seven hundred three thousand, forty".