501242743440 has 120 divisors (see below), whose sum is σ = 1700007194808. Its totient is φ = 132341299200.

The previous prime is 501242743433. The next prime is 501242743451. The reversal of 501242743440 is 44347242105.

501242743440 is a `hidden beast` number, since 5 + 0 + 1 + 242 + 74 + 344 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62612050176 + 438630693264 = 250224^2 + 662292^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 501242743395 and 501242743404.

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 23 ways as a sum of consecutive naturals, for example, 3373669 + ... + 3519108.

Almost surely, 2^501242743440 is an apocalyptic number.

It is an amenable number.

501242743440 is an abundant number, since it is smaller than the sum of its proper divisors (1198764451368).

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

501242743440 is a wasteful number, since it uses less digits than its factorization.

501242743440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6892897 (or 6892888 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 501242743440 its reverse (44347242105), we get a palindrome (545589985545).

The spelling of 501242743440 in words is "five hundred one billion, two hundred forty-two million, seven hundred forty-three thousand, four hundred forty".