424384842240 has 560 divisors, whose sum is σ = 1592086814208. Its totient is φ = 108237938688.

The previous prime is 424384842227. The next prime is 424384842269. The reversal of 424384842240 is 42248483424.

424384842240 is a `hidden beast` number, since 4 + 24 + 384 + 8 + 4 + 2 + 240 = 666.

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

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 55 ways as a sum of consecutive naturals, for example, 42918577 + ... + 42928463.

Almost surely, 2^424384842240 is an apocalyptic number.

424384842240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424384842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796043407104).

424384842240 is an abundant number, since it is smaller than the sum of its proper divisors (1167701971968).

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

424384842240 is an frugal number, since it uses more digits than its factorization.

424384842240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9951 (or 9920 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 45.

The spelling of 424384842240 in words is "four hundred twenty-four billion, three hundred eighty-four million, eight hundred forty-two thousand, two hundred forty".