4528304222400 has 1344 divisors, whose sum is σ = 19215079680000. Its totient is φ = 1028731207680.

The previous prime is 4528304222381. The next prime is 4528304222461. The reversal of 4528304222400 is 42224038254.

4528304222400 is a `hidden beast` number, since 4 + 5 + 28 + 3 + 0 + 4 + 222 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 4874385136 + ... + 4874386064.

Almost surely, 2^{4528304222400} is an apocalyptic number.

4528304222400 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 4528304222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9607539840000).

4528304222400 is an abundant number, since it is smaller than the sum of its proper divisors (14686775457600).

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

4528304222400 is an equidigital number, since it uses as much as digits as its factorization.

4528304222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 4528304222400 in words is "four trillion, five hundred twenty-eight billion, three hundred four million, two hundred twenty-two thousand, four hundred".