1361131441140 has 96 divisors (see below), whose sum is σ = 3863846802816. Its totient is φ = 357952573440.

The previous prime is 1361131441129. The next prime is 1361131441141. The reversal of 1361131441140 is 411441311631.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1361131441098 and 1361131441107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361131441141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52595244 + ... + 52621116.

It is an arithmetic number, because the mean of its divisors is an integer number (40248404196).

Almost surely, 2^{1361131441140} is an apocalyptic number.

1361131441140 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 1361131441140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931923401408).

1361131441140 is an abundant number, since it is smaller than the sum of its proper divisors (2502715361676).

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

1361131441140 is a wasteful number, since it uses less digits than its factorization.

1361131441140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37969 (or 37967 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 1361131441140 its reverse (411441311631), we get a palindrome (1772572752771).

The spelling of 1361131441140 in words is "one trillion, three hundred sixty-one billion, one hundred thirty-one million, four hundred forty-one thousand, one hundred forty".