1361043313920 has 216 divisors, whose sum is σ = 4735092295752. Its totient is φ = 360939110400.

The previous prime is 1361043313781. The next prime is 1361043313937. The reversal of 1361043313920 is 293133401631.

It is a happy number.

1361043313920 is a `hidden beast` number, since 1 + 3 + 610 + 4 + 3 + 3 + 1 + 39 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62756262144 + 1298287051776 = 250512^2 + 1139424^2 .

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 23 ways as a sum of consecutive naturals, for example, 1758750 + ... + 2411490.

Almost surely, 2^{1361043313920} is an apocalyptic number.

1361043313920 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 1361043313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367546147876).

1361043313920 is an abundant number, since it is smaller than the sum of its proper divisors (3374048981832).

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

1361043313920 is a wasteful number, since it uses less digits than its factorization.

1361043313920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652949 (or 652932 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 1361043313920 in words is "one trillion, three hundred sixty-one billion, forty-three million, three hundred thirteen thousand, nine hundred twenty".