1361311338240 has 432 divisors, whose sum is σ = 5398932547008. Its totient is φ = 310227369984.

The previous prime is 1361311338229. The next prime is 1361311338251. The reversal of 1361311338240 is 428331131631.

1361311338240 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 311 + 338 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1361311338229) and next prime (1361311338251).

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

It is a junction number, because it is equal to n+sod(n) for n = 1361311338195 and 1361311338204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27150634 + ... + 27200726.

It is an arithmetic number, because the mean of its divisors is an integer number (12497529044).

Almost surely, 2^{1361311338240} is an apocalyptic number.

1361311338240 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 1361311338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699466273504).

1361311338240 is an abundant number, since it is smaller than the sum of its proper divisors (4037621208768).

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

1361311338240 is a wasteful number, since it uses less digits than its factorization.

1361311338240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50464 (or 50447 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 1361311338240 its reverse (428331131631), we get a palindrome (1789642469871).

The spelling of 1361311338240 in words is "one trillion, three hundred sixty-one billion, three hundred eleven million, three hundred thirty-eight thousand, two hundred forty".