1316414516420 has 24 divisors (see below), whose sum is σ = 2764511175384. Its totient is φ = 526558055936.

The previous prime is 1316414516399. The next prime is 1316414516447. The reversal of 1316414516420 is 246154146131.

It can be written as a sum of positive squares in 4 ways, for example, as 370140825664 + 946273690756 = 608392^2 + 972766^2 .

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 7 ways as a sum of consecutive naturals, for example, 1022684 + ... + 1917996.

It is an arithmetic number, because the mean of its divisors is an integer number (115187965641).

Almost surely, 2^{1316414516420} is an apocalyptic number.

1316414516420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1316414516420 is an abundant number, since it is smaller than the sum of its proper divisors (1448096658964).

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

1316414516420 is a wasteful number, since it uses less digits than its factorization.

1316414516420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968839 (or 968837 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 1316414516420 in words is "one trillion, three hundred sixteen billion, four hundred fourteen million, five hundred sixteen thousand, four hundred twenty".