1361640734944 has 96 divisors (see below), whose sum is σ = 3076306732800. Its totient is φ = 581160932352.

The previous prime is 1361640734869. The next prime is 1361640734969. The reversal of 1361640734944 is 4494370461631.

It is a junction number, because it is equal to n+sod(n) for n = 1361640734891 and 1361640734900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81531907 + ... + 81548605.

It is an arithmetic number, because the mean of its divisors is an integer number (32044861800).

Almost surely, 2^{1361640734944} is an apocalyptic number.

1361640734944 is a gapful number since it is divisible by the number (14) 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 1361640734944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538153366400).

1361640734944 is an abundant number, since it is smaller than the sum of its proper divisors (1714665997856).

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

1361640734944 is a wasteful number, since it uses less digits than its factorization.

1361640734944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18192 (or 18184 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 52.

The spelling of 1361640734944 in words is "one trillion, three hundred sixty-one billion, six hundred forty million, seven hundred thirty-four thousand, nine hundred forty-four".