1311179040 has 144 divisors (see below), whose sum is σ = 4488939000. Its totient is φ = 348512256.

The previous prime is 1311179039. The next prime is 1311179047. The reversal of 1311179040 is 409711131.

It can be written as a sum of positive squares in 4 ways, for example, as 1155728016 + 155451024 = 33996^2 + 12468^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1311178995 and 1311179013.

It is not an unprimeable number, because it can be changed into a prime (1311179047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501256 + ... + 503864.

Almost surely, 2^1311179040 is an apocalyptic number.

1311179040 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 1311179040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244469500).

1311179040 is an abundant number, since it is smaller than the sum of its proper divisors (3177759960).

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

1311179040 is a wasteful number, since it uses less digits than its factorization.

1311179040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 1311179040 is about 36210.2062960155. The cubic root of 1311179040 is about 1094.5123493206.

The spelling of 1311179040 in words is "one billion, three hundred eleven million, one hundred seventy-nine thousand, forty".