42042544000 has 128 divisors (see below), whose sum is σ = 104657997600. Its totient is φ = 16796160000.

The previous prime is 42042543967. The next prime is 42042544021. The reversal of 42042544000 is 44524024.

It is a happy number.

42042544000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23343100 + ... + 23344900.

Almost surely, 2^42042544000 is an apocalyptic number.

42042544000 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 42042544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52328998800).

42042544000 is an abundant number, since it is smaller than the sum of its proper divisors (62615453600).

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

42042544000 is a wasteful number, since it uses less digits than its factorization.

42042544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

The spelling of 42042544000 in words is "forty-two billion, forty-two million, five hundred forty-four thousand".