1317398928400 has 45 divisors (see below), whose sum is σ = 3165106077271. Its totient is φ = 526950389120.

The previous prime is 1317398928397. The next prime is 1317398928401. The reversal of 1317398928400 is 48298937131.

It is a happy number.

The square root of 1317398928400 is 1147780.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7710947344 + 1309687981056 = 87812^2 + 1144416^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1317398928401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22926906 + ... + 22984294.

Almost surely, 2^{1317398928400} is an apocalyptic number.

1317398928400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1317398928400 is the 1147780-th square number.

It is an amenable number.

1317398928400 is an abundant number, since it is smaller than the sum of its proper divisors (1847707148871).

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

1317398928400 is an frugal number, since it uses more digits than its factorization.

1317398928400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114796 (or 57396 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 55.

The spelling of 1317398928400 in words is "one trillion, three hundred seventeen billion, three hundred ninety-eight million, nine hundred twenty-eight thousand, four hundred".