42204224422080 has 560 divisors, whose sum is σ = 177491077600320. Its totient is φ = 9314034573312.

The previous prime is 42204224422027. The next prime is 42204224422111. The reversal of 42204224422080 is 8022442240224.

42204224422080 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 4 + 2 + 2 + 442 + 208 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1251294 + ... + 9272226.

Almost surely, 2^{42204224422080} is an apocalyptic number.

42204224422080 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 42204224422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88745538800160).

42204224422080 is an abundant number, since it is smaller than the sum of its proper divisors (135286853178240).

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

42204224422080 is a wasteful number, since it uses less digits than its factorization.

42204224422080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8020998 (or 8020979 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

The spelling of 42204224422080 in words is "forty-two trillion, two hundred four billion, two hundred twenty-four million, four hundred twenty-two thousand, eighty".