1431396781056 has 528 divisors, whose sum is σ = 4651538082048. Its totient is φ = 420139008000.

The previous prime is 1431396781049. The next prime is 1431396781117. The reversal of 1431396781056 is 6501876931341.

1431396781056 is a `hidden beast` number, since 1 + 431 + 3 + 96 + 78 + 1 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a junction number, because it is equal to n+sod(n) for n = 1431396780993 and 1431396781011.

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, 986489131 + ... + 986490581.

It is an arithmetic number, because the mean of its divisors is an integer number (8809731216).

Almost surely, 2^{1431396781056} is an apocalyptic number.

1431396781056 is a gapful number since it is divisible by the number (16) 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 1431396781056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325769041024).

1431396781056 is an abundant number, since it is smaller than the sum of its proper divisors (3220141300992).

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

1431396781056 is a wasteful number, since it uses less digits than its factorization.

1431396781056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1431396781056 in words is "one trillion, four hundred thirty-one billion, three hundred ninety-six million, seven hundred eighty-one thousand, fifty-six".