427488623836096 has 112 divisors (see below), whose sum is σ = 880941950380800. Its totient is φ = 205605885173760.

The previous prime is 427488623836073. The next prime is 427488623836097. The reversal of 427488623836096 is 690638326884724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427488623836097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218522076 + ... + 220469668.

It is an arithmetic number, because the mean of its divisors is an integer number (7865553128400).

Almost surely, 2^{427488623836096} 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 427488623836096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440470975190400).

427488623836096 is an abundant number, since it is smaller than the sum of its proper divisors (453453326544704).

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

427488623836096 is a wasteful number, since it uses less digits than its factorization.

427488623836096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948302 (or 1948292 counting only the distinct ones).

The product of its (nonzero) digits is 4013162496, while the sum is 76.

The spelling of 427488623836096 in words is "four hundred twenty-seven trillion, four hundred eighty-eight billion, six hundred twenty-three million, eight hundred thirty-six thousand, ninety-six".