14001143186240 has 224 divisors, whose sum is σ = 40114213497600. Its totient is φ = 4547096248320.

The previous prime is 14001143186203. The next prime is 14001143186249. The reversal of 14001143186240 is 4268134110041.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 14001143186240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001143186249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369784910 + ... + 369822770.

Almost surely, 2^{14001143186240} is an apocalyptic number.

14001143186240 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 14001143186240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20057106748800).

14001143186240 is an abundant number, since it is smaller than the sum of its proper divisors (26113070311360).

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

14001143186240 is a wasteful number, since it uses less digits than its factorization.

14001143186240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46593 (or 46583 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

Adding to 14001143186240 its reverse (4268134110041), we get a palindrome (18269277296281).

The spelling of 14001143186240 in words is "fourteen trillion, one billion, one hundred forty-three million, one hundred eighty-six thousand, two hundred forty".