14042644661760 has 1920 divisors, whose sum is σ = 56907423441792. Its totient is φ = 2923954176000.

The previous prime is 14042644661741. The next prime is 14042644661809. The reversal of 14042644661760 is 6716644624041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20742458542 + ... + 20742459218.

Almost surely, 2^{14042644661760} is an apocalyptic number.

14042644661760 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 14042644661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28453711720896).

14042644661760 is an abundant number, since it is smaller than the sum of its proper divisors (42864778780032).

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

14042644661760 is a wasteful number, since it uses less digits than its factorization.

14042644661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 51.

The spelling of 14042644661760 in words is "fourteen trillion, forty-two billion, six hundred forty-four million, six hundred sixty-one thousand, seven hundred sixty".