14240781500416 has 51 divisors (see below), whose sum is σ = 28483277952433. Its totient is φ = 7119907717120.

The previous prime is 14240781500381. The next prime is 14240781500417. The reversal of 14240781500416 is 61400518704241.

The square root of 14240781500416 is 3773696.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13856976470016 + 383805030400 = 3722496^2 + 619520^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14240781500417) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 966058806 + ... + 966073546.

Almost surely, 2^{14240781500416} is an apocalyptic number.

14240781500416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14240781500416 is the 3773696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14240781500416

14240781500416 is an abundant number, since it is smaller than the sum of its proper divisors (14242496452017).

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

14240781500416 is an frugal number, since it uses more digits than its factorization.

14240781500416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29514 (or 14743 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The spelling of 14240781500416 in words is "fourteen trillion, two hundred forty billion, seven hundred eighty-one million, five hundred thousand, four hundred sixteen".