4005217800 has 384 divisors, whose sum is σ = 14456217600. Its totient is φ = 1018241280.

The previous prime is 4005217759. The next prime is 4005217807. The reversal of 4005217800 is 87125004.

4005217800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (4005217807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10913217 + ... + 10913583.

It is an arithmetic number, because the mean of its divisors is an integer number (37646400).

Almost surely, 2^4005217800 is an apocalyptic number.

4005217800 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 4005217800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7228108800).

4005217800 is an abundant number, since it is smaller than the sum of its proper divisors (10450999800).

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

4005217800 is a wasteful number, since it uses less digits than its factorization.

4005217800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 4005217800 is about 63286.7900908239. The cubic root of 4005217800 is about 1588.0909804968.

It can be divided in two parts, 400521 and 7800, that added together give a square (408321 = 639²).

The spelling of 4005217800 in words is "four billion, five million, two hundred seventeen thousand, eight hundred".