42011504000 has 128 divisors (see below), whose sum is σ = 104847350400. Its totient is φ = 16740864000.

The previous prime is 42011503999. The next prime is 42011504023. The reversal of 42011504000 is 40511024.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42011504000.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4331156 + ... + 4340844.

It is an arithmetic number, because the mean of its divisors is an integer number (819119925).

Almost surely, 2^42011504000 is an apocalyptic number.

42011504000 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 42011504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52423675200).

42011504000 is an abundant number, since it is smaller than the sum of its proper divisors (62835846400).

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

42011504000 is an equidigital number, since it uses as much as digits as its factorization.

42011504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9989 (or 9967 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The spelling of 42011504000 in words is "forty-two billion, eleven million, five hundred four thousand".