504414442440 has 48 divisors (see below), whose sum is σ = 1639346939100. Its totient is φ = 134510517888.

The previous prime is 504414442423. The next prime is 504414442489. The reversal of 504414442440 is 44244414405.

504414442440 is a `hidden beast` number, since 50 + 4 + 4 + 144 + 424 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 454839638724 + 49574803716 = 674418^2 + 222654^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 504414442395 and 504414442404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 700575255 + ... + 700575974.

Almost surely, 2^504414442440 is an apocalyptic number.

It is an amenable number.

504414442440 is an abundant number, since it is smaller than the sum of its proper divisors (1134932496660).

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

504414442440 is a wasteful number, since it uses less digits than its factorization.

504414442440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401151246 (or 1401151239 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 36.

Adding to 504414442440 its reverse (44244414405), we get a palindrome (548658856845).

The spelling of 504414442440 in words is "five hundred four billion, four hundred fourteen million, four hundred forty-two thousand, four hundred forty".