4124022144 has 128 divisors (see below), whose sum is σ = 12205140480. Its totient is φ = 1223055360.

The previous prime is 4124022127. The next prime is 4124022151. The reversal of 4124022144 is 4412204214.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

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, 188142 + ... + 208914.

It is an arithmetic number, because the mean of its divisors is an integer number (95352660).

Almost surely, 2^4124022144 is an apocalyptic number.

4124022144 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 4124022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6102570240).

4124022144 is an abundant number, since it is smaller than the sum of its proper divisors (8081118336).

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

4124022144 is a wasteful number, since it uses less digits than its factorization.

4124022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20848 (or 20836 counting only the distinct ones).

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

The square root of 4124022144 is about 64218.5498434837. The cubic root of 4124022144 is about 1603.6404274397.

Adding to 4124022144 its reverse (4412204214), we get a palindrome (8536226358).

The spelling of 4124022144 in words is "four billion, one hundred twenty-four million, twenty-two thousand, one hundred forty-four".