1318830400800 has 1008 divisors, whose sum is σ = 5312664655200. Its totient is φ = 319528281600.

The previous prime is 1318830400787. The next prime is 1318830400861. The reversal of 1318830400800 is 80040388131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 776238351 + ... + 776240049.

It is an arithmetic number, because the mean of its divisors is an integer number (5270500650).

Almost surely, 2^{1318830400800} is an apocalyptic number.

1318830400800 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 1318830400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656332327600).

1318830400800 is an abundant number, since it is smaller than the sum of its proper divisors (3993834254400).

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

1318830400800 is an equidigital number, since it uses as much as digits as its factorization.

1318830400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 1318830400800 its reverse (80040388131), we get a palindrome (1398870788931).

The spelling of 1318830400800 in words is "one trillion, three hundred eighteen billion, eight hundred thirty million, four hundred thousand, eight hundred".