1311641240 has 128 divisors (see below), whose sum is σ = 3790402560. Its totient is φ = 397039104.

The previous prime is 1311641207. The next prime is 1311641249. The reversal of 1311641240 is 421461131.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311641249) 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, 75887 + ... + 91553.

It is an arithmetic number, because the mean of its divisors is an integer number (29612520).

Almost surely, 2^1311641240 is an apocalyptic number.

1311641240 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 1311641240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895201280).

1311641240 is an abundant number, since it is smaller than the sum of its proper divisors (2478761320).

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

1311641240 is a wasteful number, since it uses less digits than its factorization.

1311641240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15721 (or 15717 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 1311641240 is about 36216.5879121709. The cubic root of 1311641240 is about 1094.6409420252.

The spelling of 1311641240 in words is "one billion, three hundred eleven million, six hundred forty-one thousand, two hundred forty".