42442735500 has 576 divisors, whose sum is σ = 159743840256. Its totient is φ = 9365760000.

The previous prime is 42442735411. The next prime is 42442735507. The reversal of 42442735500 is 553724424.

42442735500 is a `hidden beast` number, since 42 + 4 + 42 + 73 + 5 + 500 = 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 (42442735507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26085687 + ... + 26087313.

It is an arithmetic number, because the mean of its divisors is an integer number (277333056).

Almost surely, 2^42442735500 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 42442735500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79871920128).

42442735500 is an abundant number, since it is smaller than the sum of its proper divisors (117301104756).

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

42442735500 is a wasteful number, since it uses less digits than its factorization.

42442735500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The spelling of 42442735500 in words is "forty-two billion, four hundred forty-two million, seven hundred thirty-five thousand, five hundred".