14865561940000 has 480 divisors, whose sum is σ = 40471695411840. Its totient is φ = 5344475136000.

The previous prime is 14865561939997. The next prime is 14865561940007. The reversal of 14865561940000 is 4916556841.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14865561940007) 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, 6717378894 + ... + 6717381106.

It is an arithmetic number, because the mean of its divisors is an integer number (84316032108).

Almost surely, 2^{14865561940000} is an apocalyptic number.

14865561940000 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 14865561940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20235847705920).

14865561940000 is an abundant number, since it is smaller than the sum of its proper divisors (25606133471840).

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

14865561940000 is a wasteful number, since it uses less digits than its factorization.

14865561940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3142 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

The spelling of 14865561940000 in words is "fourteen trillion, eight hundred sixty-five billion, five hundred sixty-one million, nine hundred forty thousand".