42443541504 has 792 divisors, whose sum is σ = 161288206560. Its totient is φ = 10489430016.

The previous prime is 42443541463. The next prime is 42443541509. The reversal of 42443541504 is 40514534424.

42443541504 is a `hidden beast` number, since 4 + 24 + 43 + 541 + 50 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42443541509) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 185342862 + ... + 185343090.

Almost surely, 2^42443541504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42443541504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80644103280).

42443541504 is an abundant number, since it is smaller than the sum of its proper divisors (118844665056).

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

42443541504 is a wasteful number, since it uses less digits than its factorization.

42443541504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 42443541504 in words is "forty-two billion, four hundred forty-three million, five hundred forty-one thousand, five hundred four".