42163504000 has 128 divisors (see below), whose sum is σ = 105058980000. Its totient is φ = 16828416000.

The previous prime is 42163503997. The next prime is 42163504001. The reversal of 42163504000 is 40536124.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×42163504000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42163504001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7981360 + ... + 7986640.

Almost surely, 2^42163504000 is an apocalyptic number.

42163504000 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 42163504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52529490000).

42163504000 is an abundant number, since it is smaller than the sum of its proper divisors (62895476000).

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

42163504000 is an equidigital number, since it uses as much as digits as its factorization.

42163504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5809 (or 5787 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The spelling of 42163504000 in words is "forty-two billion, one hundred sixty-three million, five hundred four thousand".