428196045841920 has 1440 divisors, whose sum is σ = 1673298717742080. Its totient is φ = 104683881185280.

The previous prime is 428196045841891. The next prime is 428196045841999. The reversal of 428196045841920 is 29148540691824.

It is a happy number.

428196045841920 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 9 + 604 + 5 + 8 + 4 + 19 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9892916599 + ... + 9892959881.

It is an arithmetic number, because the mean of its divisors is an integer number (1162012998432).

Almost surely, 2^{428196045841920} is an apocalyptic number.

428196045841920 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 428196045841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836649358871040).

428196045841920 is an abundant number, since it is smaller than the sum of its proper divisors (1245102671900160).

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

428196045841920 is an frugal number, since it uses more digits than its factorization.

428196045841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43380 (or 43343 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 428196045841920 in words is "four hundred twenty-eight trillion, one hundred ninety-six billion, forty-five million, eight hundred forty-one thousand, nine hundred twenty".