428074221600 has 144 divisors (see below), whose sum is σ = 1548201846240. Its totient is φ = 114153120000.

The previous prime is 428074221599. The next prime is 428074221613. The reversal of 428074221600 is 6122470824.

428074221600 is a `hidden beast` number, since 4 + 2 + 8 + 0 + 7 + 42 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9887526 + ... + 9930725.

It is an arithmetic number, because the mean of its divisors is an integer number (10751401710).

Almost surely, 2^428074221600 is an apocalyptic number.

428074221600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428074221600 is an abundant number, since it is smaller than the sum of its proper divisors (1120127624640).

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

428074221600 is a wasteful number, since it uses less digits than its factorization.

428074221600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19818280 (or 19818261 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 428074221600 in words is "four hundred twenty-eight billion, seventy-four million, two hundred twenty-one thousand, six hundred".