424473816916800 has 3360 divisors, whose sum is σ = 1853141591347200. Its totient is φ = 93295411200000.

The previous prime is 424473816916781. The next prime is 424473816916813. The reversal of 424473816916800 is 8619618374424.

424473816916800 is a `hidden beast` number, since 4 + 2 + 4 + 473 + 8 + 16 + 91 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 479 ways as a sum of consecutive naturals, for example, 1058538196600 + ... + 1058538197000.

It is an arithmetic number, because the mean of its divisors is an integer number (551530235520).

Almost surely, 2^{424473816916800} is an apocalyptic number.

424473816916800 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 424473816916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926570795673600).

424473816916800 is an abundant number, since it is smaller than the sum of its proper divisors (1428667774430400).

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

424473816916800 is a wasteful number, since it uses less digits than its factorization.

424473816916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 424473816916800 in words is "four hundred twenty-four trillion, four hundred seventy-three billion, eight hundred sixteen million, nine hundred sixteen thousand, eight hundred".