4416006144 has 288 divisors, whose sum is σ = 13629863520. Its totient is φ = 1260748800.

The previous prime is 4416006121. The next prime is 4416006167.

4416006144 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4416006121) and next prime (4416006167).

It is a super-2 number, since 2×4416006144² = 39002220527691497472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24397734 + ... + 24397914.

It is an arithmetic number, because the mean of its divisors is an integer number (47325915).

Almost surely, 2^4416006144 is an apocalyptic number.

4416006144 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 4416006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6814931760).

4416006144 is an abundant number, since it is smaller than the sum of its proper divisors (9213857376).

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

4416006144 is a wasteful number, since it uses less digits than its factorization.

4416006144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 4416006144 is about 66453.0371314961. The cubic root of 4416006144 is about 1640.6271327508.

It can be divided in two parts, 441600 and 6144, that added together give a palindrome (447744).

The spelling of 4416006144 in words is "four billion, four hundred sixteen million, six thousand, one hundred forty-four".