1309143292800 has 1536 divisors, whose sum is σ = 5385255321600. Its totient is φ = 272985292800.

The previous prime is 1309143292783. The next prime is 1309143292801. The reversal of 1309143292800 is 82923419031.

It is a super-2 number, since 2×1309143292800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1309143292801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4264310247 + ... + 4264310553.

It is an arithmetic number, because the mean of its divisors is an integer number (3506025600).

Almost surely, 2^{1309143292800} is an apocalyptic number.

1309143292800 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 1309143292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692627660800).

1309143292800 is an abundant number, since it is smaller than the sum of its proper divisors (4076112028800).

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

1309143292800 is a wasteful number, since it uses less digits than its factorization.

1309143292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 1309143292800 in words is "one trillion, three hundred nine billion, one hundred forty-three million, two hundred ninety-two thousand, eight hundred".