1361617560140 has 96 divisors (see below), whose sum is σ = 2965362583680. Its totient is φ = 524558555136.

The previous prime is 1361617560139. The next prime is 1361617560157. The reversal of 1361617560140 is 410657161631.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 683198984 + ... + 683200976.

It is an arithmetic number, because the mean of its divisors is an integer number (30889193580).

Almost surely, 2^{1361617560140} is an apocalyptic number.

1361617560140 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 1361617560140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482681291840).

1361617560140 is an abundant number, since it is smaller than the sum of its proper divisors (1603745023540).

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

1361617560140 is a wasteful number, since it uses less digits than its factorization.

1361617560140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4371 (or 4369 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 1361617560140 in words is "one trillion, three hundred sixty-one billion, six hundred seventeen million, five hundred sixty thousand, one hundred forty".