1316400068736 has 192 divisors, whose sum is σ = 4035498012000. Its totient is φ = 410696220672.

The previous prime is 1316400068729. The next prime is 1316400068743. The reversal of 1316400068736 is 6378600046131.

1316400068736 is a `hidden beast` number, since 131 + 6 + 400 + 0 + 6 + 87 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (1316400068729) and next prime (1316400068743).

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 1316400068691 and 1316400068700.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1454400 + ... + 2179008.

Almost surely, 2^{1316400068736} is an apocalyptic number.

1316400068736 is a gapful number since it is divisible by the number (16) 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 1316400068736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017749006000).

1316400068736 is an abundant number, since it is smaller than the sum of its proper divisors (2719097943264).

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

1316400068736 is a wasteful number, since it uses less digits than its factorization.

1316400068736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724731 (or 724716 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1316400068736 in words is "one trillion, three hundred sixteen billion, four hundred million, sixty-eight thousand, seven hundred thirty-six".