42431284289664 has 768 divisors, whose sum is σ = 135665524874880. Its totient is φ = 12674458976256.

The previous prime is 42431284289659. The next prime is 42431284289687. The reversal of 42431284289664 is 46698248213424.

It is a happy number.

42431284289664 is a `hidden beast` number, since 4 + 2 + 43 + 1 + 28 + 428 + 96 + 64 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5472882012 + ... + 5472889764.

Almost surely, 2^{42431284289664} 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 42431284289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67832762437440).

42431284289664 is an abundant number, since it is smaller than the sum of its proper divisors (93234240585216).

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

42431284289664 is a wasteful number, since it uses less digits than its factorization.

42431284289664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7997 (or 7982 counting only the distinct ones).

The product of its digits is 127401984, while the sum is 63.

The spelling of 42431284289664 in words is "forty-two trillion, four hundred thirty-one billion, two hundred eighty-four million, two hundred eighty-nine thousand, six hundred sixty-four".