4047225600 has 216 divisors, whose sum is σ = 14571692352. Its totient is φ = 981094400.

The previous prime is 4047225577. The next prime is 4047225607. The reversal of 4047225600 is 65227404.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4047225607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201619 + ... + 220781.

Almost surely, 2^4047225600 is an apocalyptic number.

4047225600 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 4047225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7285846176).

4047225600 is an abundant number, since it is smaller than the sum of its proper divisors (10524466752).

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

4047225600 is a wasteful number, since it uses less digits than its factorization.

4047225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19203 (or 19184 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 4047225600 is about 63617.8088274030. The cubic root of 4047225600 is about 1593.6237903901.

The spelling of 4047225600 in words is "four billion, forty-seven million, two hundred twenty-five thousand, six hundred".