1311377280 has 128 divisors (see below), whose sum is σ = 4426008480. Its totient is φ = 329121792.

The previous prime is 1311377279. The next prime is 1311377299. The reversal of 1311377280 is 827731131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12552 + ... + 52728.

Almost surely, 2^1311377280 is an apocalyptic number.

1311377280 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 1311377280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213004240).

1311377280 is an abundant number, since it is smaller than the sum of its proper divisors (3114631200).

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

1311377280 is a wasteful number, since it uses less digits than its factorization.

1311377280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40216 (or 40204 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 1311377280 is about 36212.9435423303. The cubic root of 1311377280 is about 1094.5675071054.

The spelling of 1311377280 in words is "one billion, three hundred eleven million, three hundred seventy-seven thousand, two hundred eighty".