1311078400 has 144 divisors (see below), whose sum is σ = 3366581400. Its totient is φ = 505774080.

The previous prime is 1311078341. The next prime is 1311078421. The reversal of 1311078400 is 48701131.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1484359 + ... + 1485241.

Almost surely, 2^1311078400 is an apocalyptic number.

1311078400 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 1311078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683290700).

1311078400 is an abundant number, since it is smaller than the sum of its proper divisors (2055503000).

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

1311078400 is an equidigital number, since it uses as much as digits as its factorization.

1311078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 1311078400 is about 36208.8166059041. The cubic root of 1311078400 is about 1094.4843453797.

Adding to 1311078400 its reverse (48701131), we get a palindrome (1359779531).

The spelling of 1311078400 in words is "one billion, three hundred eleven million, seventy-eight thousand, four hundred".