1361333660400 has 600 divisors, whose sum is σ = 5697675975200. Its totient is φ = 311159439360.

The previous prime is 1361333660339. The next prime is 1361333660413. The reversal of 1361333660400 is 40663331631.

1361333660400 is a `hidden beast` number, since 1 + 3 + 6 + 13 + 3 + 36 + 604 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11051952 + ... + 11174448.

Almost surely, 2^{1361333660400} is an apocalyptic number.

1361333660400 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 1361333660400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848837987600).

1361333660400 is an abundant number, since it is smaller than the sum of its proper divisors (4336342314800).

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

1361333660400 is a wasteful number, since it uses less digits than its factorization.

1361333660400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122548 (or 122514 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 1361333660400 in words is "one trillion, three hundred sixty-one billion, three hundred thirty-three million, six hundred sixty thousand, four hundred".