42211105920 has 192 divisors, whose sum is σ = 146657721600. Its totient is φ = 11186989056.

The previous prime is 42211105901. The next prime is 42211105967. The reversal of 42211105920 is 2950111224.

42211105920 is a `hidden beast` number, since 42 + 21 + 1 + 10 + 592 + 0 = 666.

42211105920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 916401 + ... + 961359.

It is an arithmetic number, because the mean of its divisors is an integer number (763842300).

Almost surely, 2^42211105920 is an apocalyptic number.

42211105920 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 42211105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73328860800).

42211105920 is an abundant number, since it is smaller than the sum of its proper divisors (104446615680).

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

42211105920 is a wasteful number, since it uses less digits than its factorization.

42211105920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45147 (or 45132 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 42211105920 in words is "forty-two billion, two hundred eleven million, one hundred five thousand, nine hundred twenty".