42427622160 has 1440 divisors, whose sum is σ = 196484745600. Its totient is φ = 8082063360.

The previous prime is 42427622123. The next prime is 42427622189. The reversal of 42427622160 is 6122672424.

42427622160 is a `hidden beast` number, since 4 + 2 + 4 + 27 + 622 + 1 + 6 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 389244186 + ... + 389244294.

It is an arithmetic number, because the mean of its divisors is an integer number (136447740).

Almost surely, 2^42427622160 is an apocalyptic number.

42427622160 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 42427622160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98242372800).

42427622160 is an abundant number, since it is smaller than the sum of its proper divisors (154057123440).

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

42427622160 is a wasteful number, since it uses less digits than its factorization.

42427622160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 42427622160 in words is "forty-two billion, four hundred twenty-seven million, six hundred twenty-two thousand, one hundred sixty".