1309145203392 has 448 divisors, whose sum is σ = 4217768755200. Its totient is φ = 354227650560.

The previous prime is 1309145203357. The next prime is 1309145203393. The reversal of 1309145203392 is 2933025419031.

It is a super-2 number, since 2×1309145203392² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1309145203393) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38129209 + ... + 38163527.

It is an arithmetic number, because the mean of its divisors is an integer number (9414662400).

Almost surely, 2^{1309145203392} is an apocalyptic number.

1309145203392 is a gapful number since it is divisible by the number (12) 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 1309145203392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108884377600).

1309145203392 is an abundant number, since it is smaller than the sum of its proper divisors (2908623551808).

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

1309145203392 is a wasteful number, since it uses less digits than its factorization.

1309145203392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34424 (or 34414 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The spelling of 1309145203392 in words is "one trillion, three hundred nine billion, one hundred forty-five million, two hundred three thousand, three hundred ninety-two".