4201242144 has 96 divisors (see below), whose sum is σ = 12112027200. Its totient is φ = 1264512000.

The previous prime is 4201242131. The next prime is 4201242163. The reversal of 4201242144 is 4412421024.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 143994 + ... + 170694.

It is an arithmetic number, because the mean of its divisors is an integer number (126166950).

Almost surely, 2^4201242144 is an apocalyptic number.

4201242144 is a gapful number since it is divisible by the number (44) 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 4201242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6056013600).

4201242144 is an abundant number, since it is smaller than the sum of its proper divisors (7910785056).

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

4201242144 is a wasteful number, since it uses less digits than its factorization.

4201242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26874 (or 26866 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4201242144 is about 64816.9896246347. The cubic root of 4201242144 is about 1613.5876867526.

Adding to 4201242144 its reverse (4412421024), we get a palindrome (8613663168).

The spelling of 4201242144 in words is "four billion, two hundred one million, two hundred forty-two thousand, one hundred forty-four".