1361707240320 has 2304 divisors, whose sum is σ = 5980108305600. Its totient is φ = 284042723328.

The previous prime is 1361707240303. The next prime is 1361707240379. The reversal of 1361707240320 is 230427071631.

1361707240320 is a `hidden beast` number, since 1 + 3 + 617 + 0 + 7 + 2 + 4 + 0 + 32 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 18653523804 + ... + 18653523876.

Almost surely, 2^{1361707240320} is an apocalyptic number.

1361707240320 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 1361707240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2990054152800).

1361707240320 is an abundant number, since it is smaller than the sum of its proper divisors (4618401065280).

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

1361707240320 is a wasteful number, since it uses less digits than its factorization.

1361707240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 1361707240320 in words is "one trillion, three hundred sixty-one billion, seven hundred seven million, two hundred forty thousand, three hundred twenty".