1311419268 has 96 divisors (see below), whose sum is σ = 3506518400. Its totient is φ = 423543168.

The previous prime is 1311419243. The next prime is 1311419279. The reversal of 1311419268 is 8629141131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1226238 + ... + 1227306.

Almost surely, 2^1311419268 is an apocalyptic number.

1311419268 is a gapful number since it is divisible by the number (18) 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 1311419268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753259200).

1311419268 is an abundant number, since it is smaller than the sum of its proper divisors (2195099132).

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

1311419268 is a wasteful number, since it uses less digits than its factorization.

1311419268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1418 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 1311419268 is about 36213.5232751523. The cubic root of 1311419268 is about 1094.5791890246.

The spelling of 1311419268 in words is "one billion, three hundred eleven million, four hundred nineteen thousand, two hundred sixty-eight".