1311441442400 has 72 divisors (see below), whose sum is σ = 3210140412864. Its totient is φ = 523170086400.

The previous prime is 1311441442361. The next prime is 1311441442477. The reversal of 1311441442400 is 42441441131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1899056 + ... + 2495855.

It is an arithmetic number, because the mean of its divisors is an integer number (44585283512).

Almost surely, 2^{1311441442400} is an apocalyptic number.

1311441442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311441442400 is an abundant number, since it is smaller than the sum of its proper divisors (1898698970464).

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

1311441442400 is a wasteful number, since it uses less digits than its factorization.

1311441442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395304 (or 4395291 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 1311441442400 its reverse (42441441131), we get a palindrome (1353882883531).

The spelling of 1311441442400 in words is "one trillion, three hundred eleven billion, four hundred forty-one million, four hundred forty-two thousand, four hundred".