1311420590880 has 192 divisors, whose sum is σ = 4320836690688. Its totient is φ = 333711544320.

The previous prime is 1311420590869. The next prime is 1311420590881. The reversal of 1311420590880 is 880950241131.

It is not an unprimeable number, because it can be changed into a prime (1311420590881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4506762 + ... + 4788918.

It is an arithmetic number, because the mean of its divisors is an integer number (22504357764).

Almost surely, 2^{1311420590880} is an apocalyptic number.

1311420590880 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 1311420590880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160418345344).

1311420590880 is an abundant number, since it is smaller than the sum of its proper divisors (3009416099808).

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

1311420590880 is a wasteful number, since it uses less digits than its factorization.

1311420590880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282619 (or 282611 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 1311420590880 in words is "one trillion, three hundred eleven billion, four hundred twenty million, five hundred ninety thousand, eight hundred eighty".