1311416160 has 192 divisors, whose sum is σ = 4348499904. Its totient is φ = 331776000.

The previous prime is 1311416101. The next prime is 1311416167. The reversal of 1311416160 is 616141131.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1311416160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311416167) 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, 727260 + ... + 729060.

It is an arithmetic number, because the mean of its divisors is an integer number (22648437).

Almost surely, 2^1311416160 is an apocalyptic number.

1311416160 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 1311416160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174249952).

1311416160 is an abundant number, since it is smaller than the sum of its proper divisors (3037083744).

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

1311416160 is a wasteful number, since it uses less digits than its factorization.

1311416160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1311416160 is about 36213.4803629809. The cubic root of 1311416160 is about 1094.5783243240.

Adding to 1311416160 its reverse (616141131), we get a palindrome (1927557291).

The spelling of 1311416160 in words is "one billion, three hundred eleven million, four hundred sixteen thousand, one hundred sixty".