1414304311728 has 160 divisors (see below), whose sum is σ = 4556472509952. Its totient is φ = 367246080000.

The previous prime is 1414304311727. The next prime is 1414304311753. The reversal of 1414304311728 is 8271134034141.

It is not an unprimeable number, because it can be changed into a prime (1414304311727) 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, 13226478 + ... + 13332978.

Almost surely, 2^{1414304311728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414304311728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278236254976).

1414304311728 is an abundant number, since it is smaller than the sum of its proper divisors (3142168198224).

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

1414304311728 is a wasteful number, since it uses less digits than its factorization.

1414304311728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110123 (or 110117 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

Adding to 1414304311728 its reverse (8271134034141), we get a palindrome (9685438345869).

The spelling of 1414304311728 in words is "one trillion, four hundred fourteen billion, three hundred four million, three hundred eleven thousand, seven hundred twenty-eight".