1311462240 has 192 divisors, whose sum is σ = 4539628800. Its totient is φ = 315607040.

The previous prime is 1311462227. The next prime is 1311462253. The reversal of 1311462240 is 422641131.

It is an interprime number because it is at equal distance from previous prime (1311462227) and next prime (1311462253).

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 1311462240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 785887 + ... + 787553.

It is an arithmetic number, because the mean of its divisors is an integer number (23643900).

Almost surely, 2^1311462240 is an apocalyptic number.

1311462240 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 1311462240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269814400).

1311462240 is an abundant number, since it is smaller than the sum of its proper divisors (3228166560).

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

1311462240 is a wasteful number, since it uses less digits than its factorization.

1311462240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1311462240 is about 36214.1165845586. The cubic root of 1311462240 is about 1094.5911444544.

It can be divided in two parts, 131146 and 2240, that added together give a triangular number (133386 = T₅₁₆).

The spelling of 1311462240 in words is "one billion, three hundred eleven million, four hundred sixty-two thousand, two hundred forty".