1362117712640 has 144 divisors (see below), whose sum is σ = 3306829639680. Its totient is φ = 537525596160.

The previous prime is 1362117712639. The next prime is 1362117712673. The reversal of 1362117712640 is 462177112631.

It is an unprimeable number.

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, 29074835 + ... + 29121645.

It is an arithmetic number, because the mean of its divisors is an integer number (22964094720).

Almost surely, 2^{1362117712640} is an apocalyptic number.

1362117712640 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 1362117712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653414819840).

1362117712640 is an abundant number, since it is smaller than the sum of its proper divisors (1944711927040).

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

1362117712640 is a wasteful number, since it uses less digits than its factorization.

1362117712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47138 (or 47124 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The spelling of 1362117712640 in words is "one trillion, three hundred sixty-two billion, one hundred seventeen million, seven hundred twelve thousand, six hundred forty".