14077109760 has 640 divisors, whose sum is σ = 55464735744. Its totient is φ = 2972712960.

The previous prime is 14077109749. The next prime is 14077109789. The reversal of 14077109760 is 6790177041.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66716055 + ... + 66716265.

Almost surely, 2^14077109760 is an apocalyptic number.

14077109760 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 14077109760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27732367872).

14077109760 is an abundant number, since it is smaller than the sum of its proper divisors (41387625984).

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

14077109760 is a wasteful number, since it uses less digits than its factorization.

14077109760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 42.

The spelling of 14077109760 in words is "fourteen billion, seventy-seven million, one hundred nine thousand, seven hundred sixty".