1311443300040 has 128 divisors (see below), whose sum is σ = 4070427984000. Its totient is φ = 337623164928.

The previous prime is 1311443300023. The next prime is 1311443300047. The reversal of 1311443300040 is 400033441131.

It is a super-3 number, since 3×1311443300040³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1311443300047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53088972 + ... + 53113668.

It is an arithmetic number, because the mean of its divisors is an integer number (31800218625).

Almost surely, 2^{1311443300040} is an apocalyptic number.

1311443300040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311443300040 is an abundant number, since it is smaller than the sum of its proper divisors (2758984683960).

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

1311443300040 is a wasteful number, since it uses less digits than its factorization.

1311443300040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39999 (or 39995 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1311443300040 its reverse (400033441131), we get a palindrome (1711476741171).

The spelling of 1311443300040 in words is "one trillion, three hundred eleven billion, four hundred forty-three million, three hundred thousand, forty".