1311445106040 has 64 divisors (see below), whose sum is σ = 4061249372160. Its totient is φ = 338437445760.

The previous prime is 1311445106029. The next prime is 1311445106057. The reversal of 1311445106040 is 406015441131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1311445105989 and 1311445106007.

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 15 ways as a sum of consecutive naturals, for example, 176265784 + ... + 176273223.

It is an arithmetic number, because the mean of its divisors is an integer number (63457021440).

Almost surely, 2^{1311445106040} is an apocalyptic number.

1311445106040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311445106040 is an abundant number, since it is smaller than the sum of its proper divisors (2749804266120).

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

1311445106040 is a wasteful number, since it uses less digits than its factorization.

1311445106040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352539052 (or 352539048 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 1311445106040 in words is "one trillion, three hundred eleven billion, four hundred forty-five million, one hundred six thousand, forty".