1362117430720 has 112 divisors (see below), whose sum is σ = 3252529139328. Its totient is φ = 543339095040.

The previous prime is 1362117430669. The next prime is 1362117430721. The reversal of 1362117430720 is 270347112631.

It is a self number, because there is not a number n which added to its sum of digits gives 1362117430720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1362117430721) 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 15 ways as a sum of consecutive naturals, for example, 312195259 + ... + 312199621.

It is an arithmetic number, because the mean of its divisors is an integer number (29040438744).

Almost surely, 2^{1362117430720} is an apocalyptic number.

1362117430720 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 1362117430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626264569664).

1362117430720 is an abundant number, since it is smaller than the sum of its proper divisors (1890411708608).

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

1362117430720 is a wasteful number, since it uses less digits than its factorization.

1362117430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6858 (or 6848 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The spelling of 1362117430720 in words is "one trillion, three hundred sixty-two billion, one hundred seventeen million, four hundred thirty thousand, seven hundred twenty".