42465844512 has 1152 divisors, whose sum is σ = 169885900800. Its totient is φ = 10189670400.

The previous prime is 42465844507. The next prime is 42465844513. The reversal of 42465844512 is 21544856424.

42465844512 is a `hidden beast` number, since 4 + 2 + 46 + 58 + 44 + 512 = 666.

It is not an unprimeable number, because it can be changed into a prime (42465844513) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 324166687 + ... + 324166817.

It is an arithmetic number, because the mean of its divisors is an integer number (147470400).

Almost surely, 2^42465844512 is an apocalyptic number.

42465844512 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 42465844512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84942950400).

42465844512 is an abundant number, since it is smaller than the sum of its proper divisors (127420056288).

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

42465844512 is a wasteful number, since it uses less digits than its factorization.

42465844512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 206 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 45.

The spelling of 42465844512 in words is "forty-two billion, four hundred sixty-five million, eight hundred forty-four thousand, five hundred twelve".