424031664000 has 1024 divisors, whose sum is σ = 1707599462400. Its totient is φ = 90923212800.

The previous prime is 424031663983. The next prime is 424031664011. The reversal of 424031664000 is 466130424.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 127 ways as a sum of consecutive naturals, for example, 810767739 + ... + 810768261.

It is an arithmetic number, because the mean of its divisors is an integer number (1667577600).

Almost surely, 2^424031664000 is an apocalyptic number.

424031664000 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 424031664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853799731200).

424031664000 is an abundant number, since it is smaller than the sum of its proper divisors (1283567798400).

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

424031664000 is a wasteful number, since it uses less digits than its factorization.

424031664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 424031664000 its reverse (466130424), we get a palindrome (424497794424).

The spelling of 424031664000 in words is "four hundred twenty-four billion, thirty-one million, six hundred sixty-four thousand".