504114071040 has 160 divisors (see below), whose sum is σ = 1790655435360. Its totient is φ = 134430400512.

The previous prime is 504114071029. The next prime is 504114071077. The reversal of 504114071040 is 40170411405.

504114071040 is a `hidden beast` number, since 504 + 1 + 140 + 7 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×504114071040³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 504114070995 and 504114071013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3577539 + ... + 3715778.

It is an arithmetic number, because the mean of its divisors is an integer number (11191596471).

Almost surely, 2^504114071040 is an apocalyptic number.

It is an amenable number.

504114071040 is an abundant number, since it is smaller than the sum of its proper divisors (1286541364320).

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

504114071040 is an equidigital number, since it uses as much as digits as its factorization.

504114071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7293349 (or 7293327 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 504114071040 its reverse (40170411405), we get a palindrome (544284482445).

The spelling of 504114071040 in words is "five hundred four billion, one hundred fourteen million, seventy-one thousand, forty".