1310440000 has 105 divisors (see below), whose sum is σ = 3267517341. Its totient is φ = 521280000.

The previous prime is 1310439997. The next prime is 1310440031. The reversal of 1310440000 is 440131.

The square root of 1310440000 is 36200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1269069376 + 41370624 = 35624^2 + 6432^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7239910 + ... + 7240090.

Almost surely, 2^1310440000 is an apocalyptic number.

1310440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1310440000 is the 36200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310440000

1310440000 is an abundant number, since it is smaller than the sum of its proper divisors (1957077341).

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

1310440000 is an frugal number, since it uses more digits than its factorization.

1310440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The cubic root of 1310440000 is about 1094.3066717320.

Adding to 1310440000 its reverse (440131), we get a palindrome (1310880131).

The spelling of 1310440000 in words is "one billion, three hundred ten million, four hundred forty thousand".