1311146480 has 40 divisors (see below), whose sum is σ = 3483904992. Its totient is φ = 449535744.

The previous prime is 1311146477. The next prime is 1311146531. The reversal of 1311146480 is 846411131.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1170107 + ... + 1171226.

Almost surely, 2^1311146480 is an apocalyptic number.

1311146480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311146480 is an abundant number, since it is smaller than the sum of its proper divisors (2172758512).

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

1311146480 is a wasteful number, since it uses less digits than its factorization.

1311146480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341353 (or 2341347 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 1311146480 is about 36209.7566962276. The cubic root of 1311146480 is about 1094.5032893789.

The spelling of 1311146480 in words is "one billion, three hundred eleven million, one hundred forty-six thousand, four hundred eighty".