4050144 has 144 divisors (see below), whose sum is σ = 13759200. Its totient is φ = 1128960.

The previous prime is 4050133. The next prime is 4050149. The reversal of 4050144 is 4410504.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×4050144³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 14.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4050149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98764 + ... + 98804.

It is an arithmetic number, because the mean of its divisors is an integer number (95550).

Almost surely, 2^4050144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4050144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879600).

4050144 is an abundant number, since it is smaller than the sum of its proper divisors (9709056).

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

4050144 is a wasteful number, since it uses less digits than its factorization.

4050144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4050144 is about 2012.4969565194. The cubic root of 4050144 is about 159.4006745258.

Adding to 4050144 its reverse (4410504), we get a palindrome (8460648).

The spelling of 4050144 in words is "four million, fifty thousand, one hundred forty-four".