1361272872960 has 4032 divisors, whose sum is σ = 7048466740224. Its totient is φ = 237817036800.

The previous prime is 1361272872923. The next prime is 1361272872961. The reversal of 1361272872960 is 692782721631.

It is a happy number.

1361272872960 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 272 + 87 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a junction number, because it is equal to n+sod(n) for n = 1361272872897 and 1361272872906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361272872961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 43912028145 + ... + 43912028175.

It is an arithmetic number, because the mean of its divisors is an integer number (1748131632).

Almost surely, 2^{1361272872960} is an apocalyptic number.

1361272872960 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 1361272872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524233370112).

1361272872960 is an abundant number, since it is smaller than the sum of its proper divisors (5687193867264).

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

1361272872960 is a wasteful number, since it uses less digits than its factorization.

1361272872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 1361272872960 in words is "one trillion, three hundred sixty-one billion, two hundred seventy-two million, eight hundred seventy-two thousand, nine hundred sixty".