1311422464640 has 128 divisors (see below), whose sum is σ = 3320951659200. Its totient is φ = 493501759488.

The previous prime is 1311422464619. The next prime is 1311422464687. The reversal of 1311422464640 is 464642241131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1311422464594 and 1311422464603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26816531 + ... + 26865389.

Almost surely, 2^{1311422464640} is an apocalyptic number.

1311422464640 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 1311422464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660475829600).

1311422464640 is an abundant number, since it is smaller than the sum of its proper divisors (2009529194560).

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

1311422464640 is a wasteful number, since it uses less digits than its factorization.

1311422464640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51362 (or 51350 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 1311422464640 in words is "one trillion, three hundred eleven billion, four hundred twenty-two million, four hundred sixty-four thousand, six hundred forty".