4223271603600 has 1125 divisors, whose sum is σ = 17758309085363. Its totient is φ = 961176222720.

The previous prime is 4223271603559. The next prime is 4223271603619. The reversal of 4223271603600 is 63061723224.

The square root of 4223271603600 is 2055060.

It is a perfect power (a square), and thus also a powerful number.

4223271603600 is a `hidden beast` number, since 4 + 2 + 2 + 32 + 7 + 16 + 0 + 3 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 831722112144 + 3391549491456 = 911988^2 + 1841616^2 .

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 224 ways as a sum of consecutive naturals, for example, 18125629084 + ... + 18125629316.

Almost surely, 2^{4223271603600} is an apocalyptic number.

4223271603600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4223271603600 is the 2055060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4223271603600

4223271603600 is an abundant number, since it is smaller than the sum of its proper divisors (13535037481763).

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

4223271603600 is an frugal number, since it uses more digits than its factorization.

4223271603600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Multiplying 4223271603600 by its sum of digits (36), we get a square (152037777729600 = 12330360²).

4223271603600 divided by its sum of digits (36) gives a square (117313100100 = 342510²).

The spelling of 4223271603600 in words is "four trillion, two hundred twenty-three billion, two hundred seventy-one million, six hundred three thousand, six hundred".