1312051440 has 480 divisors, whose sum is σ = 5048248320. Its totient is φ = 280627200.

The previous prime is 1312051427. The next prime is 1312051453. The reversal of 1312051440 is 441502131.

1312051440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1312051427) and next prime (1312051453).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21509010 + ... + 21509070.

It is an arithmetic number, because the mean of its divisors is an integer number (10517184).

Almost surely, 2^1312051440 is an apocalyptic number.

1312051440 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 1312051440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524124160).

1312051440 is an abundant number, since it is smaller than the sum of its proper divisors (3736196880).

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

1312051440 is a wasteful number, since it uses less digits than its factorization.

1312051440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1312051440 is about 36222.2506203024. The cubic root of 1312051440 is about 1094.7550420551.

Adding to 1312051440 its reverse (441502131), we get a palindrome (1753553571).

The spelling of 1312051440 in words is "one billion, three hundred twelve million, fifty-one thousand, four hundred forty".