504445626040 has 96 divisors (see below), whose sum is σ = 1244638165680. Its totient is φ = 183360149504.

The previous prime is 504445626037. The next prime is 504445626077. The reversal of 504445626040 is 40626544405.

It is a happy number.

It is a super-3 number, since 3×504445626040³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 504445625984 and 504445626002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130839 + ... + 1012921.

Almost surely, 2^504445626040 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 504445626040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622319082840).

504445626040 is an abundant number, since it is smaller than the sum of its proper divisors (740192539640).

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

504445626040 is a wasteful number, since it uses less digits than its factorization.

504445626040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882169 (or 882136 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

It can be divided in two parts, 504 and 445626040, that added together give a palindrome (445626544).

The spelling of 504445626040 in words is "five hundred four billion, four hundred forty-five million, six hundred twenty-six thousand, forty".