42542466120 has 768 divisors, whose sum is σ = 183414067200. Its totient is φ = 8289515520.

The previous prime is 42542466103. The next prime is 42542466121. The reversal of 42542466120 is 2166424524.

42542466120 is a `hidden beast` number, since 42 + 542 + 4 + 66 + 12 + 0 = 666.

It is a super-2 number, since 2×42542466120² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (42542466121) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 33790051 + ... + 33791309.

It is an arithmetic number, because the mean of its divisors is an integer number (238820400).

Almost surely, 2^42542466120 is an apocalyptic number.

42542466120 is a gapful number since it is divisible by the number (40) 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 42542466120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91707033600).

42542466120 is an abundant number, since it is smaller than the sum of its proper divisors (140871601080).

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

42542466120 is a wasteful number, since it uses less digits than its factorization.

42542466120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 42542466120 in words is "forty-two billion, five hundred forty-two million, four hundred sixty-six thousand, one hundred twenty".