1311454722240 has 1120 divisors, whose sum is σ = 5218497478656. Its totient is φ = 310452756480.

The previous prime is 1311454722239. The next prime is 1311454722283. The reversal of 1311454722240 is 422274541131.

1311454722240 is a `hidden beast` number, since 1 + 3 + 1 + 145 + 472 + 2 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1311454722195 and 1311454722204.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2329404199 + ... + 2329404761.

Almost surely, 2^{1311454722240} is an apocalyptic number.

1311454722240 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 1311454722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609248739328).

1311454722240 is an abundant number, since it is smaller than the sum of its proper divisors (3907042756416).

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

1311454722240 is a wasteful number, since it uses less digits than its factorization.

1311454722240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 1311454722240 in words is "one trillion, three hundred eleven billion, four hundred fifty-four million, seven hundred twenty-two thousand, two hundred forty".