42164178560 has 192 divisors, whose sum is σ = 117792105120. Its totient is φ = 14390175744.

The previous prime is 42164178517. The next prime is 42164178587. The reversal of 42164178560 is 6587146124.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

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, 7115759 + ... + 7121681.

Almost surely, 2^42164178560 is an apocalyptic number.

42164178560 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 42164178560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58896052560).

42164178560 is an abundant number, since it is smaller than the sum of its proper divisors (75627926560).

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

42164178560 is a wasteful number, since it uses less digits than its factorization.

42164178560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6183 (or 6164 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 42164178560 in words is "forty-two billion, one hundred sixty-four million, one hundred seventy-eight thousand, five hundred sixty".