1311460545200 has 480 divisors, whose sum is σ = 3573209758272. Its totient is φ = 459343872000.

The previous prime is 1311460545193. The next prime is 1311460545203. The reversal of 1311460545200 is 25450641131.

It is not an unprimeable number, because it can be changed into a prime (1311460545203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1537467974 + ... + 1537468826.

Almost surely, 2^{1311460545200} is an apocalyptic number.

1311460545200 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 1311460545200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786604879136).

1311460545200 is an abundant number, since it is smaller than the sum of its proper divisors (2261749213072).

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

1311460545200 is a wasteful number, since it uses less digits than its factorization.

1311460545200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 1311460545200 in words is "one trillion, three hundred eleven billion, four hundred sixty million, five hundred forty-five thousand, two hundred".