424424448000 has 2240 divisors, whose sum is σ = 1959379538688. Its totient is φ = 89181388800.

The previous prime is 424424447921. The next prime is 424424448127. The reversal of 424424448000 is 844424424.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×424424448000² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9870335979 + ... + 9870336021.

Almost surely, 2^424424448000 is an apocalyptic number.

424424448000 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 424424448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979689769344).

424424448000 is an abundant number, since it is smaller than the sum of its proper divisors (1534955090688).

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

424424448000 is an equidigital number, since it uses as much as digits as its factorization.

424424448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

The spelling of 424424448000 in words is "four hundred twenty-four billion, four hundred twenty-four million, four hundred forty-eight thousand".