1310400416 has 24 divisors (see below), whose sum is σ = 2778301764. Its totient is φ = 604800000.

The previous prime is 1310400407. The next prime is 1310400439. The reversal of 1310400416 is 6140040131.

It can be written as a sum of positive squares in 2 ways, for example, as 1310150416 + 250000 = 36196^2 + 500^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1574585 + ... + 1575416.

Almost surely, 2^1310400416 is an apocalyptic number.

1310400416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1310400416 is an abundant number, since it is smaller than the sum of its proper divisors (1467901348).

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

1310400416 is a wasteful number, since it uses less digits than its factorization.

1310400416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150024 (or 3150016 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1310400416 is about 36199.4532555396. The cubic root of 1310400416 is about 1094.2956531755.

Adding to 1310400416 its reverse (6140040131), we get a palindrome (7450440547).

The spelling of 1310400416 in words is "one billion, three hundred ten million, four hundred thousand, four hundred sixteen".