427886272128 has 256 divisors, whose sum is σ = 1374209280000. Its totient is φ = 115234099200.

The previous prime is 427886272127. The next prime is 427886272243. The reversal of 427886272128 is 821272688724.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (427886272127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10142278 + ... + 10184378.

It is an arithmetic number, because the mean of its divisors is an integer number (5368005000).

Almost surely, 2^427886272128 is an apocalyptic number.

427886272128 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 427886272128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687104640000).

427886272128 is an abundant number, since it is smaller than the sum of its proper divisors (946323007872).

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

427886272128 is a wasteful number, since it uses less digits than its factorization.

427886272128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42343 (or 42331 counting only the distinct ones).

The product of its digits is 9633792, while the sum is 57.

The spelling of 427886272128 in words is "four hundred twenty-seven billion, eight hundred eighty-six million, two hundred seventy-two thousand, one hundred twenty-eight".