4047213600 has 432 divisors, whose sum is σ = 15014039040. Its totient is φ = 1063756800.

The previous prime is 4047213559. The next prime is 4047213601. The reversal of 4047213600 is 63127404.

4047213600 is a `hidden beast` number, since 4 + 0 + 47 + 2 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4047213601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21189505 + ... + 21189695.

It is an arithmetic number, because the mean of its divisors is an integer number (34754720).

Almost surely, 2^4047213600 is an apocalyptic number.

4047213600 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 4047213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7507019520).

4047213600 is an abundant number, since it is smaller than the sum of its proper divisors (10966825440).

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

4047213600 is a wasteful number, since it uses less digits than its factorization.

4047213600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4047213600 is about 63617.7145141194. The cubic root of 4047213600 is about 1593.6222153602.

It can be divided in two parts, 404721 and 3600, that added together give a square (408321 = 639²).

The spelling of 4047213600 in words is "four billion, forty-seven million, two hundred thirteen thousand, six hundred".