1431306240000 has 960 divisors, whose sum is σ = 5870146201920. Its totient is φ = 301989888000.

The previous prime is 1431306239983. The next prime is 1431306240031. The reversal of 1431306240000 is 426031341.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110100479994 + ... + 110100480006.

It is an arithmetic number, because the mean of its divisors is an integer number (6114735627).

Almost surely, 2^{1431306240000} is an apocalyptic number.

1431306240000 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 1431306240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935073100960).

1431306240000 is an abundant number, since it is smaller than the sum of its proper divisors (4438839961920).

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

1431306240000 is an frugal number, since it uses more digits than its factorization.

1431306240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 1431306240000 in words is "one trillion, four hundred thirty-one billion, three hundred six million, two hundred forty thousand".