42120554112 has 576 divisors, whose sum is σ = 154990517760. Its totient is φ = 10739589120.

The previous prime is 42120554087. The next prime is 42120554131. The reversal of 42120554112 is 21145502124.

It is a happy number.

42120554112 is a `hidden beast` number, since 42 + 1 + 205 + 5 + 411 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42246798 + ... + 42247794.

It is an arithmetic number, because the mean of its divisors is an integer number (269080760).

Almost surely, 2^42120554112 is an apocalyptic number.

42120554112 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 42120554112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77495258880).

42120554112 is an abundant number, since it is smaller than the sum of its proper divisors (112869963648).

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

42120554112 is a wasteful number, since it uses less digits than its factorization.

42120554112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 42120554112 in words is "forty-two billion, one hundred twenty million, five hundred fifty-four thousand, one hundred twelve".