4199473152 has 336 divisors, whose sum is σ = 14175882240. Its totient is φ = 1173159936.

The previous prime is 4199473141. The next prime is 4199473153. The reversal of 4199473152 is 2513749914.

4199473152 is a `hidden beast` number, since 41 + 99 + 473 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 4199473098 and 4199473107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4199473153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40771533 + ... + 40771635.

Almost surely, 2^4199473152 is an apocalyptic number.

4199473152 is a gapful number since it is divisible by the number (42) 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 4199473152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7087941120).

4199473152 is an abundant number, since it is smaller than the sum of its proper divisors (9976409088).

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

4199473152 is a wasteful number, since it uses less digits than its factorization.

4199473152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 194 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 4199473152 is about 64803.3421360349. The cubic root of 4199473152 is about 1613.3611803737.

The spelling of 4199473152 in words is "four billion, one hundred ninety-nine million, four hundred seventy-three thousand, one hundred fifty-two".