1361973096000 has 2016 divisors, whose sum is σ = 5811325578240. Its totient is φ = 311731200000.

The previous prime is 1361973095981. The next prime is 1361973096053. The reversal of 1361973096000 is 6903791631.

1361973096000 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 9 + 7 + 30 + 9 + 600 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 33218855980 + ... + 33218856020.

Almost surely, 2^{1361973096000} is an apocalyptic number.

1361973096000 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 1361973096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905662789120).

1361973096000 is an abundant number, since it is smaller than the sum of its proper divisors (4449352482240).

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

1361973096000 is a wasteful number, since it uses less digits than its factorization.

1361973096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The spelling of 1361973096000 in words is "one trillion, three hundred sixty-one billion, nine hundred seventy-three million, ninety-six thousand".