424885616640 has 960 divisors, whose sum is σ = 1648863216000. Its totient is φ = 104639496192.

The previous prime is 424885616621. The next prime is 424885616671. The reversal of 424885616640 is 46616588424.

424885616640 is a `hidden beast` number, since 4 + 2 + 488 + 5 + 61 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14651228146 + ... + 14651228174.

It is an arithmetic number, because the mean of its divisors is an integer number (1717565850).

Almost surely, 2^424885616640 is an apocalyptic number.

424885616640 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 424885616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824431608000).

424885616640 is an abundant number, since it is smaller than the sum of its proper divisors (1223977599360).

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

424885616640 is an frugal number, since it uses more digits than its factorization.

424885616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 424885616640 in words is "four hundred twenty-four billion, eight hundred eighty-five million, six hundred sixteen thousand, six hundred forty".