4223438301600 has 2880 divisors, whose sum is σ = 19305826848000. Its totient is φ = 895436881920.

The previous prime is 4223438301461. The next prime is 4223438301629. The reversal of 4223438301600 is 61038343224.

4223438301600 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 43 + 8 + 3 + 0 + 1 + 600 = 666.

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

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 479 ways as a sum of consecutive naturals, for example, 30828016732 + ... + 30828016868.

It is an arithmetic number, because the mean of its divisors is an integer number (6703412100).

Almost surely, 2^{4223438301600} is an apocalyptic number.

4223438301600 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 4223438301600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9652913424000).

4223438301600 is an abundant number, since it is smaller than the sum of its proper divisors (15082388546400).

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

4223438301600 is a wasteful number, since it uses less digits than its factorization.

4223438301600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 4223438301600 in words is "four trillion, two hundred twenty-three billion, four hundred thirty-eight million, three hundred one thousand, six hundred".