1314100450410 has 256 divisors, whose sum is σ = 3616723353600. Its totient is φ = 302649753600.

The previous prime is 1314100450373. The next prime is 1314100450417. The reversal of 1314100450410 is 140540014131.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1314100450417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 734543796 + ... + 734545584.

It is an arithmetic number, because the mean of its divisors is an integer number (14127825600).

Almost surely, 2^{1314100450410} is an apocalyptic number.

1314100450410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314100450410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808361676800).

1314100450410 is an abundant number, since it is smaller than the sum of its proper divisors (2302622903190).

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

1314100450410 is a wasteful number, since it uses less digits than its factorization.

1314100450410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117.

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 1314100450410 its reverse (140540014131), we get a palindrome (1454640464541).

The spelling of 1314100450410 in words is "one trillion, three hundred fourteen billion, one hundred million, four hundred fifty thousand, four hundred ten".