1310142450400 has 288 divisors, whose sum is σ = 3737603278080. Its totient is φ = 439189585920.

The previous prime is 1310142450391. The next prime is 1310142450413. The reversal of 1310142450400 is 40542410131.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45071071 + ... + 45100129.

It is an arithmetic number, because the mean of its divisors is an integer number (12977789160).

Almost surely, 2^{1310142450400} is an apocalyptic number.

1310142450400 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 1310142450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868801639040).

1310142450400 is an abundant number, since it is smaller than the sum of its proper divisors (2427460827680).

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

1310142450400 is a wasteful number, since it uses less digits than its factorization.

1310142450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29266 (or 29253 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 1310142450400 its reverse (40542410131), we get a palindrome (1350684860531).

The spelling of 1310142450400 in words is "one trillion, three hundred ten billion, one hundred forty-two million, four hundred fifty thousand, four hundred".