504442030045040 has 160 divisors (see below), whose sum is σ = 1240476884398080. Its totient is φ = 190461058099200.

The previous prime is 504442030044991. The next prime is 504442030045043. The reversal of 504442030045040 is 40540030244405.

It is a super-2 number, since 2×504442030045040² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504442030045043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439396091 + ... + 440542629.

It is an arithmetic number, because the mean of its divisors is an integer number (7752980527488).

Almost surely, 2^{504442030045040} 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 504442030045040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620238442199040).

504442030045040 is an abundant number, since it is smaller than the sum of its proper divisors (736034854353040).

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

504442030045040 is a wasteful number, since it uses less digits than its factorization.

504442030045040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150951 (or 1150945 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 35.

Adding to 504442030045040 its reverse (40540030244405), we get a palindrome (544982060289445).

The spelling of 504442030045040 in words is "five hundred four trillion, four hundred forty-two billion, thirty million, forty-five thousand, forty".