1311411616040 has 64 divisors (see below), whose sum is σ = 2957771376000. Its totient is φ = 523304651520.

The previous prime is 1311411616033. The next prime is 1311411616069. The reversal of 1311411616040 is 406161141131.

It is a junction number, because it is equal to n+sod(n) for n = 1311411615994 and 1311411616012.

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, 31756526 + ... + 31797794.

It is an arithmetic number, because the mean of its divisors is an integer number (46215177750).

Almost surely, 2^{1311411616040} is an apocalyptic number.

1311411616040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311411616040 is an abundant number, since it is smaller than the sum of its proper divisors (1646359759960).

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

1311411616040 is a wasteful number, since it uses less digits than its factorization.

1311411616040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43170 (or 43166 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

Adding to 1311411616040 its reverse (406161141131), we get a palindrome (1717572757171).

The spelling of 1311411616040 in words is "one trillion, three hundred eleven billion, four hundred eleven million, six hundred sixteen thousand, forty".