427313120448 has 112 divisors (see below), whose sum is σ = 1168355133440. Its totient is φ = 137691187200.

The previous prime is 427313120369. The next prime is 427313120449. The reversal of 427313120448 is 844021313724.

It is not an unprimeable number, because it can be changed into a prime (427313120449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5430828 + ... + 5508948.

Almost surely, 2^427313120448 is an apocalyptic number.

427313120448 is a gapful number since it is divisible by the number (48) 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 427313120448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584177566720).

427313120448 is an abundant number, since it is smaller than the sum of its proper divisors (741042012992).

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

427313120448 is a wasteful number, since it uses less digits than its factorization.

427313120448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79086 (or 79076 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 427313120448 in words is "four hundred twenty-seven billion, three hundred thirteen million, one hundred twenty thousand, four hundred forty-eight".