4016144 has 40 divisors (see below), whose sum is σ = 8942880. Its totient is φ = 1728000.

The previous prime is 4016141. The next prime is 4016149. The reversal of 4016144 is 4416104.

It is a happy number.

4016144 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×4016144² = 32258825257472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4016141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2744 + ... + 3944.

It is an arithmetic number, because the mean of its divisors is an integer number (223572).

Almost surely, 2^4016144 is an apocalyptic number.

4016144 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 4016144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4471440).

4016144 is an abundant number, since it is smaller than the sum of its proper divisors (4926736).

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

4016144 is a wasteful number, since it uses less digits than its factorization.

4016144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4016144 is about 2004.0319358733. The cubic root of 4016144 is about 158.9533768870.

The spelling of 4016144 in words is "four million, sixteen thousand, one hundred forty-four".