4199709120 has 112 divisors (see below), whose sum is σ = 13347070080. Its totient is φ = 1118831616.

The previous prime is 4199709103. The next prime is 4199709131. The reversal of 4199709120 is 219079914.

4199709120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4199709120² = 35275113385222348800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1652811 + ... + 1655349.

Almost surely, 2^4199709120 is an apocalyptic number.

4199709120 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 4199709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6673535040).

4199709120 is an abundant number, since it is smaller than the sum of its proper divisors (9147360960).

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

4199709120 is a wasteful number, since it uses less digits than its factorization.

4199709120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4282 (or 4272 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The square root of 4199709120 is about 64805.1627572989. The cubic root of 4199709120 is about 1613.3913980119.

The spelling of 4199709120 in words is "four billion, one hundred ninety-nine million, seven hundred nine thousand, one hundred twenty".