1314100636420 has 96 divisors (see below), whose sum is σ = 3244885733376. Its totient is φ = 440712384000.

The previous prime is 1314100636403. The next prime is 1314100636451. The reversal of 1314100636420 is 246360014131.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3092262 + ... + 3491458.

It is an arithmetic number, because the mean of its divisors is an integer number (33800893056).

Almost surely, 2^{1314100636420} is an apocalyptic number.

1314100636420 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 1314100636420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622442866688).

1314100636420 is an abundant number, since it is smaller than the sum of its proper divisors (1930785096956).

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

1314100636420 is a wasteful number, since it uses less digits than its factorization.

1314100636420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400381 (or 400379 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 1314100636420 in words is "one trillion, three hundred fourteen billion, one hundred million, six hundred thirty-six thousand, four hundred twenty".