42118989120 has 560 divisors, whose sum is σ = 162334529280. Its totient is φ = 10304630784.

The previous prime is 42118989113. The next prime is 42118989127. The reversal of 42118989120 is 2198981124.

42118989120 is a `hidden beast` number, since 421 + 18 + 98 + 9 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (42118989113) and next prime (42118989127).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42118989127) 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 79 ways as a sum of consecutive naturals, for example, 80533179 + ... + 80533701.

It is an arithmetic number, because the mean of its divisors is an integer number (289883088).

Almost surely, 2^42118989120 is an apocalyptic number.

42118989120 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 42118989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81167264640).

42118989120 is an abundant number, since it is smaller than the sum of its proper divisors (120215540160).

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

42118989120 is a wasteful number, since it uses less digits than its factorization.

42118989120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 42118989120 in words is "forty-two billion, one hundred eighteen million, nine hundred eighty-nine thousand, one hundred twenty".