1314012400068 has 96 divisors (see below), whose sum is σ = 3368279577600. Its totient is φ = 396844043904.

The previous prime is 1314012400067. The next prime is 1314012400069. The reversal of 1314012400068 is 8600042104131.

It is an interprime number because it is at equal distance from previous prime (1314012400067) and next prime (1314012400069).

It is not an unprimeable number, because it can be changed into a prime (1314012400067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38311255 + ... + 38345537.

It is an arithmetic number, because the mean of its divisors is an integer number (35086245600).

Almost surely, 2^{1314012400068} 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 1314012400068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684139788800).

1314012400068 is an abundant number, since it is smaller than the sum of its proper divisors (2054267177532).

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

1314012400068 is a wasteful number, since it uses less digits than its factorization.

1314012400068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41641 (or 41639 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 1314012400068 its reverse (8600042104131), we get a palindrome (9914054504199).

The spelling of 1314012400068 in words is "one trillion, three hundred fourteen billion, twelve million, four hundred thousand, sixty-eight".