1311241440 has 48 divisors (see below), whose sum is σ = 4130412048. Its totient is φ = 349664256.

The previous prime is 1311241427. The next prime is 1311241453. The reversal of 1311241440 is 441421131.

It is an interprime number because it is at equal distance from previous prime (1311241427) and next prime (1311241453).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×1311241440³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1365397 + ... + 1366356.

It is an arithmetic number, because the mean of its divisors is an integer number (86050251).

Almost surely, 2^1311241440 is an apocalyptic number.

1311241440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311241440 is an abundant number, since it is smaller than the sum of its proper divisors (2819170608).

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

1311241440 is a wasteful number, since it uses less digits than its factorization.

1311241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2731771 (or 2731763 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1311241440 is about 36211.0679212862. The cubic root of 1311241440 is about 1094.5297119348.

Adding to 1311241440 its reverse (441421131), we get a palindrome (1752662571).

The spelling of 1311241440 in words is "one billion, three hundred eleven million, two hundred forty-one thousand, four hundred forty".