504444530145440 has 192 divisors, whose sum is σ = 1256434330152960. Its totient is φ = 191104118353920.

The previous prime is 504444530145419. The next prime is 504444530145527. The reversal of 504444530145440 is 44541035444405.

It is a super-3 number, since 3×504444530145440³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5601595454 + ... + 5601685506.

It is an arithmetic number, because the mean of its divisors is an integer number (6543928802880).

Almost surely, 2^{504444530145440} 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 504444530145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628217165076480).

504444530145440 is an abundant number, since it is smaller than the sum of its proper divisors (751989800007520).

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

504444530145440 is a wasteful number, since it uses less digits than its factorization.

504444530145440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114175 (or 114167 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 47.

Adding to 504444530145440 its reverse (44541035444405), we get a palindrome (548985565589845).

The spelling of 504444530145440 in words is "five hundred four trillion, four hundred forty-four billion, five hundred thirty million, one hundred forty-five thousand, four hundred forty".