4207144032 has 288 divisors, whose sum is σ = 14810402880. Its totient is φ = 1103155200.

The previous prime is 4207144001. The next prime is 4207144033. The reversal of 4207144032 is 2304417024.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 4207143987 and 4207144005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4207144033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6001282 + ... + 6001982.

It is an arithmetic number, because the mean of its divisors is an integer number (51425010).

Almost surely, 2^4207144032 is an apocalyptic number.

4207144032 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 4207144032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405201440).

4207144032 is an abundant number, since it is smaller than the sum of its proper divisors (10603258848).

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

4207144032 is a wasteful number, since it uses less digits than its factorization.

4207144032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4207144032 is about 64862.5009693583. The cubic root of 4207144032 is about 1614.3429203689.

The spelling of 4207144032 in words is "four billion, two hundred seven million, one hundred forty-four thousand, thirty-two".