42306443712 has 672 divisors, whose sum is σ = 144985800960. Its totient is φ = 11674091520.

The previous prime is 42306443693. The next prime is 42306443719. The reversal of 42306443712 is 21734460324.

42306443712 is a `hidden beast` number, since 4 + 2 + 3 + 0 + 644 + 3 + 7 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42306443719) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 322949887 + ... + 322950017.

It is an arithmetic number, because the mean of its divisors is an integer number (215752680).

Almost surely, 2^42306443712 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 42306443712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72492900480).

42306443712 is an abundant number, since it is smaller than the sum of its proper divisors (102679357248).

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

42306443712 is a wasteful number, since it uses less digits than its factorization.

42306443712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 42306443712 in words is "forty-two billion, three hundred six million, four hundred forty-three thousand, seven hundred twelve".