506201149440 has 832 divisors, whose sum is σ = 2165254809600. Its totient is φ = 109597556736.

The previous prime is 506201149429. The next prime is 506201149477. The reversal of 506201149440 is 44941102605.

506201149440 is a `hidden beast` number, since 5 + 0 + 6 + 201 + 1 + 4 + 9 + 440 = 666.

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 = 506201149395 and 506201149404.

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 63 ways as a sum of consecutive naturals, for example, 73540239 + ... + 73547121.

Almost surely, 2^506201149440 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 506201149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082627404800).

506201149440 is an abundant number, since it is smaller than the sum of its proper divisors (1659053660160).

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

506201149440 is a wasteful number, since it uses less digits than its factorization.

506201149440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6947 (or 6919 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 506201149440 in words is "five hundred six billion, two hundred one million, one hundred forty-nine thousand, four hundred forty".