1311142044400 has 120 divisors (see below), whose sum is σ = 3182412834864. Its totient is φ = 519067392000.

The previous prime is 1311142044397. The next prime is 1311142044403. The reversal of 1311142044400 is 44402411131.

It is an interprime number because it is at equal distance from previous prime (1311142044397) and next prime (1311142044403).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311142044403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154848967 + ... + 154857433.

Almost surely, 2^{1311142044400} is an apocalyptic number.

1311142044400 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 1311142044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591206417432).

1311142044400 is an abundant number, since it is smaller than the sum of its proper divisors (1871270790464).

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

1311142044400 is a wasteful number, since it uses less digits than its factorization.

1311142044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12419 (or 12408 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 1311142044400 its reverse (44402411131), we get a palindrome (1355544455531).

The spelling of 1311142044400 in words is "one trillion, three hundred eleven billion, one hundred forty-two million, forty-four thousand, four hundred".