14090869760 has 176 divisors, whose sum is σ = 37353000960. Its totient is φ = 5057495040.

The previous prime is 14090869693. The next prime is 14090869777. The reversal of 14090869760 is 6796809041.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-3 number, since 3×14090869760³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 14090869699 and 14090869708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4447697 + ... + 4450863.

It is an arithmetic number, because the mean of its divisors is an integer number (212232960).

Almost surely, 2^14090869760 is an apocalyptic number.

14090869760 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 14090869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18676500480).

14090869760 is an abundant number, since it is smaller than the sum of its proper divisors (23262131200).

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

14090869760 is a wasteful number, since it uses less digits than its factorization.

14090869760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3282 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 50.

The spelling of 14090869760 in words is "fourteen billion, ninety million, eight hundred sixty-nine thousand, seven hundred sixty".