1311205334040 has 256 divisors, whose sum is σ = 4996059264000. Its totient is φ = 299644600320.

The previous prime is 1311205333927. The next prime is 1311205334081. The reversal of 1311205334040 is 404335021131.

It is a happy number.

1311205334040 is a `hidden beast` number, since 1 + 3 + 1 + 120 + 533 + 4 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1311205333995 and 1311205334013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46336216 + ... + 46364504.

It is an arithmetic number, because the mean of its divisors is an integer number (19515856500).

Almost surely, 2^{1311205334040} is an apocalyptic number.

1311205334040 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 1311205334040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498029632000).

1311205334040 is an abundant number, since it is smaller than the sum of its proper divisors (3684853929960).

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

1311205334040 is a wasteful number, since it uses less digits than its factorization.

1311205334040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34447 (or 34437 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 1311205334040 in words is "one trillion, three hundred eleven billion, two hundred five million, three hundred thirty-four thousand, forty".