1316198419200 has 1512 divisors, whose sum is σ = 5638061807616. Its totient is φ = 297851904000.

The previous prime is 1316198419169. The next prime is 1316198419243. The reversal of 1316198419200 is 29148916131.

1316198419200 is a `hidden beast` number, since 1 + 3 + 1 + 619 + 8 + 4 + 1 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 6237907095 + ... + 6237907305.

Almost surely, 2^{1316198419200} is an apocalyptic number.

1316198419200 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 1316198419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819030903808).

1316198419200 is an abundant number, since it is smaller than the sum of its proper divisors (4321863388416).

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

1316198419200 is an equidigital number, since it uses as much as digits as its factorization.

1316198419200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 1316198419200 in words is "one trillion, three hundred sixteen billion, one hundred ninety-eight million, four hundred nineteen thousand, two hundred".