1431326261280 has 384 divisors, whose sum is σ = 5003354603520. Its totient is φ = 342485176320.

The previous prime is 1431326261263. The next prime is 1431326261291. The reversal of 1431326261280 is 821626231341.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13233982 + ... + 13341698.

It is an arithmetic number, because the mean of its divisors is an integer number (13029569280).

Almost surely, 2^{1431326261280} is an apocalyptic number.

1431326261280 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 1431326261280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501677301760).

1431326261280 is an abundant number, since it is smaller than the sum of its proper divisors (3572028342240).

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

1431326261280 is a wasteful number, since it uses less digits than its factorization.

1431326261280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107832 (or 107824 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 1431326261280 in words is "one trillion, four hundred thirty-one billion, three hundred twenty-six million, two hundred sixty-one thousand, two hundred eighty".