508748221440 has 308 divisors, whose sum is σ = 1829775700704. Its totient is φ = 135665197056.

The previous prime is 508748221427. The next prime is 508748221459. The reversal of 508748221440 is 44122847805.

508748221440 is a `hidden beast` number, since 50 + 87 + 4 + 82 + 2 + 1 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 27 ways as a sum of consecutive naturals, for example, 3664329 + ... + 3800631.

Almost surely, 2^508748221440 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 508748221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914887850352).

508748221440 is an abundant number, since it is smaller than the sum of its proper divisors (1321027479264).

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

508748221440 is an equidigital number, since it uses as much as digits as its factorization.

508748221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136346 (or 136313 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 508748221440 in words is "five hundred eight billion, seven hundred forty-eight million, two hundred twenty-one thousand, four hundred forty".