427487807126016 has 1280 divisors, whose sum is σ = 1659536052894720. Its totient is φ = 105435333918720.

The previous prime is 427487807125957. The next prime is 427487807126041. The reversal of 427487807126016 is 610621708784724.

427487807126016 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 8 + 7 + 8 + 0 + 7 + 12 + 601 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 3357495636 + ... + 3357622956.

It is an arithmetic number, because the mean of its divisors is an integer number (1296512541324).

Almost surely, 2^{427487807126016} 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 427487807126016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829768026447360).

427487807126016 is an abundant number, since it is smaller than the sum of its proper divisors (1232048245768704).

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

427487807126016 is a wasteful number, since it uses less digits than its factorization.

427487807126016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127542 (or 127520 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 427487807126016 in words is "four hundred twenty-seven trillion, four hundred eighty-seven billion, eight hundred seven million, one hundred twenty-six thousand, sixteen".