42185063318112 has 1152 divisors, whose sum is σ = 148573206512640. Its totient is φ = 11171789291520.

The previous prime is 42185063318107. The next prime is 42185063318117. The reversal of 42185063318112 is 21181336058124.

42185063318112 is a `hidden beast` number, since 4 + 2 + 1 + 8 + 5 + 0 + 633 + 1 + 8 + 1 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (42185063318107) and next prime (42185063318117).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42185063318117) 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, 62311762318 + ... + 62311762994.

It is an arithmetic number, because the mean of its divisors is an integer number (128969797320).

Almost surely, 2^{42185063318112} 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 42185063318112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74286603256320).

42185063318112 is an abundant number, since it is smaller than the sum of its proper divisors (106388143194528).

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

42185063318112 is a wasteful number, since it uses less digits than its factorization.

42185063318112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 42185063318112 in words is "forty-two trillion, one hundred eighty-five billion, sixty-three million, three hundred eighteen thousand, one hundred twelve".