4205320000 has 280 divisors, whose sum is σ = 12454713216. Its totient is φ = 1377024000.

The previous prime is 4205319983. The next prime is 4205320003. The reversal of 4205320000 is 235024.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4205320003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6439674 + ... + 6440326.

Almost surely, 2^4205320000 is an apocalyptic number.

4205320000 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 4205320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6227356608).

4205320000 is an abundant number, since it is smaller than the sum of its proper divisors (8249393216).

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

4205320000 is an equidigital number, since it uses as much as digits as its factorization.

4205320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 4205320000 is about 64848.4386859082. The cubic root of 4205320000 is about 1614.1095840266.

Adding to 4205320000 its reverse (235024), we get a palindrome (4205555024).

The spelling of 4205320000 in words is "four billion, two hundred five million, three hundred twenty thousand".