504076134240 has 576 divisors, whose sum is σ = 2002836326400. Its totient is φ = 113070477312.

The previous prime is 504076134143. The next prime is 504076134257. The reversal of 504076134240 is 42431670405.

504076134240 is a `hidden beast` number, since 5 + 0 + 407 + 6 + 1 + 3 + 4 + 240 = 666.

It is a super-2 number, since 2×504076134240² (a number of 24 digits) contains 22 as substring.

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 = 504076134195 and 504076134204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137761531 + ... + 137765189.

It is an arithmetic number, because the mean of its divisors is an integer number (3477146400).

Almost surely, 2^504076134240 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 504076134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001418163200).

504076134240 is an abundant number, since it is smaller than the sum of its proper divisors (1498760192160).

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

504076134240 is a wasteful number, since it uses less digits than its factorization.

504076134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3939 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 504076134240 in words is "five hundred four billion, seventy-six million, one hundred thirty-four thousand, two hundred forty".