428855543424000 has 3168 divisors, whose sum is σ = 2046875099592960. Its totient is φ = 83865894912000.

The previous prime is 428855543423987. The next prime is 428855543424029. The reversal of 428855543424000 is 424345558824.

428855543424000 is a `hidden beast` number, since 4 + 2 + 8 + 8 + 5 + 554 + 3 + 42 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25635447636 + ... + 25635464364.

Almost surely, 2^{428855543424000} is an apocalyptic number.

428855543424000 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 428855543424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023437549796480).

428855543424000 is an abundant number, since it is smaller than the sum of its proper divisors (1618019556168960).

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

428855543424000 is a wasteful number, since it uses less digits than its factorization.

428855543424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16822 (or 16774 counting only the distinct ones).

The product of its (nonzero) digits is 24576000, while the sum is 54.

The spelling of 428855543424000 in words is "four hundred twenty-eight trillion, eight hundred fifty-five billion, five hundred forty-three million, four hundred twenty-four thousand".