1310214240 has 144 divisors (see below), whose sum is σ = 4484516400. Its totient is φ = 348343296.

The previous prime is 1310214233. The next prime is 1310214317. The reversal of 1310214240 is 424120131.

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

It is a super-2 number, since 2×1310214240² = 3433322709397555200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 558991 + ... + 561329.

It is an arithmetic number, because the mean of its divisors is an integer number (31142475).

Almost surely, 2^1310214240 is an apocalyptic number.

1310214240 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 1310214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242258200).

1310214240 is an abundant number, since it is smaller than the sum of its proper divisors (3174302160).

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

1310214240 is a wasteful number, since it uses less digits than its factorization.

1310214240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1310214240 is about 36196.8816336435. The cubic root of 1310214240 is about 1094.2438264631.

Adding to 1310214240 its reverse (424120131), we get a palindrome (1734334371).

The spelling of 1310214240 in words is "one billion, three hundred ten million, two hundred fourteen thousand, two hundred forty".