4199580000 has 960 divisors, whose sum is σ = 19271831040. Its totient is φ = 864000000.

The previous prime is 4199579947. The next prime is 4199580001. The reversal of 4199580000 is 859914.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4199580001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41579950 + ... + 41580050.

It is an arithmetic number, because the mean of its divisors is an integer number (20074824).

Almost surely, 2^4199580000 is an apocalyptic number.

4199580000 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 4199580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9635915520).

4199580000 is an abundant number, since it is smaller than the sum of its proper divisors (15072251040).

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

4199580000 is a wasteful number, since it uses less digits than its factorization.

4199580000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 4199580000 is about 64804.1665327161. The cubic root of 4199580000 is about 1613.3748632769.

The spelling of 4199580000 in words is "four billion, one hundred ninety-nine million, five hundred eighty thousand".