1311567040 has 112 divisors (see below), whose sum is σ = 3656649024. Its totient is φ = 438681600.

The previous prime is 1311566989. The next prime is 1311567077. The reversal of 1311567040 is 407651131.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×1311567040³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84700 + ... + 98980.

It is an arithmetic number, because the mean of its divisors is an integer number (32648652).

Almost surely, 2^1311567040 is an apocalyptic number.

1311567040 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 1311567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828324512).

1311567040 is an abundant number, since it is smaller than the sum of its proper divisors (2345081984).

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

1311567040 is a wasteful number, since it uses less digits than its factorization.

1311567040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14346 (or 14336 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 1311567040 is about 36215.5635052114. The cubic root of 1311567040 is about 1094.6203002300.

The spelling of 1311567040 in words is "one billion, three hundred eleven million, five hundred sixty-seven thousand, forty".