1311433402400 has 144 divisors (see below), whose sum is σ = 3510140961600. Its totient is φ = 474487833600.

The previous prime is 1311433402399. The next prime is 1311433402429. The reversal of 1311433402400 is 42043341131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1311433402400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1376762 + ... + 2125638.

It is an arithmetic number, because the mean of its divisors is an integer number (24375978900).

Almost surely, 2^{1311433402400} is an apocalyptic number.

1311433402400 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 1311433402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755070480800).

1311433402400 is an abundant number, since it is smaller than the sum of its proper divisors (2198707559200).

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

1311433402400 is a wasteful number, since it uses less digits than its factorization.

1311433402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749107 (or 749094 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 1311433402400 its reverse (42043341131), we get a palindrome (1353476743531).

The spelling of 1311433402400 in words is "one trillion, three hundred eleven billion, four hundred thirty-three million, four hundred two thousand, four hundred".