4199127072 has 288 divisors, whose sum is σ = 13822341120. Its totient is φ = 1089262080.

The previous prime is 4199127061. The next prime is 4199127073. The reversal of 4199127072 is 2707219914.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4199127073) 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 47 ways as a sum of consecutive naturals, for example, 40768173 + ... + 40768275.

It is an arithmetic number, because the mean of its divisors is an integer number (47994240).

Almost surely, 2^4199127072 is an apocalyptic number.

4199127072 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 4199127072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6911170560).

4199127072 is an abundant number, since it is smaller than the sum of its proper divisors (9623214048).

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

4199127072 is a wasteful number, since it uses less digits than its factorization.

4199127072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 4199127072 is about 64800.6718483690. The cubic root of 4199127072 is about 1613.3168599430.

The spelling of 4199127072 in words is "four billion, one hundred ninety-nine million, one hundred twenty-seven thousand, seventy-two".