42404373504 has 660 divisors, whose sum is σ = 141434230740. Its totient is φ = 12634030080.

The previous prime is 42404373469. The next prime is 42404373581. The reversal of 42404373504 is 40537340424.

42404373504 is a `hidden beast` number, since 4 + 2 + 40 + 43 + 73 + 504 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1327104 + 42403046400 = 1152^2 + 205920^2 .

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

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 695153634 + ... + 695153694.

It is an arithmetic number, because the mean of its divisors is an integer number (214294289).

Almost surely, 2^42404373504 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 42404373504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70717115370).

42404373504 is an abundant number, since it is smaller than the sum of its proper divisors (99029857236).

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

42404373504 is a wasteful number, since it uses less digits than its factorization.

42404373504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

The spelling of 42404373504 in words is "forty-two billion, four hundred four million, three hundred seventy-three thousand, five hundred four".