16314106434400 has 72 divisors (see below), whose sum is σ = 39828315355920. Its totient is φ = 6525396303360.

The previous prime is 16314106434377. The next prime is 16314106434401. The reversal of 16314106434400 is 443460141361.

It is a self number, because there is not a number n which added to its sum of digits gives 16314106434400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16314106434401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21612142 + ... + 22354258.

It is an arithmetic number, because the mean of its divisors is an integer number (553171046610).

Almost surely, 2^{16314106434400} is an apocalyptic number.

16314106434400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16314106434400 is an abundant number, since it is smaller than the sum of its proper divisors (23514208921520).

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

16314106434400 is a wasteful number, since it uses less digits than its factorization.

16314106434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769616 (or 769603 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

Adding to 16314106434400 its reverse (443460141361), we get a palindrome (16757566575761).

The spelling of 16314106434400 in words is "sixteen trillion, three hundred fourteen billion, one hundred six million, four hundred thirty-four thousand, four hundred".