427743114144 has 96 divisors (see below), whose sum is σ = 1137346297920. Its totient is φ = 140748797952.

The previous prime is 427743114103. The next prime is 427743114151. The reversal of 427743114144 is 441411347724.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 427743114096 and 427743114105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2263362 + ... + 2445054.

It is an arithmetic number, because the mean of its divisors is an integer number (11847357270).

Almost surely, 2^427743114144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427743114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568673148960).

427743114144 is an abundant number, since it is smaller than the sum of its proper divisors (709603183776).

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

427743114144 is a wasteful number, since it uses less digits than its factorization.

427743114144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182022 (or 182014 counting only the distinct ones).

The product of its digits is 301056, while the sum is 42.

The spelling of 427743114144 in words is "four hundred twenty-seven billion, seven hundred forty-three million, one hundred fourteen thousand, one hundred forty-four".