42071465332512 has 576 divisors, whose sum is σ = 152612520173568. Its totient is φ = 10677277440000.

The previous prime is 42071465332483. The next prime is 42071465332531. The reversal of 42071465332512 is 21523356417024.

42071465332512 is a `hidden beast` number, since 4 + 2 + 0 + 71 + 4 + 65 + 3 + 3 + 2 + 512 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 204160153 + ... + 204366119.

It is an arithmetic number, because the mean of its divisors is an integer number (264952291968).

Almost surely, 2^{42071465332512} is an apocalyptic number.

42071465332512 is a gapful number since it is divisible by the number (42) 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 42071465332512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76306260086784).

42071465332512 is an abundant number, since it is smaller than the sum of its proper divisors (110541054841056).

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

42071465332512 is a wasteful number, since it uses less digits than its factorization.

42071465332512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206213 (or 206202 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 42071465332512 in words is "forty-two trillion, seventy-one billion, four hundred sixty-five million, three hundred thirty-two thousand, five hundred twelve".