4002414144 has 224 divisors, whose sum is σ = 11517050880. Its totient is φ = 1222760448.

The previous prime is 4002414127. The next prime is 4002414151. The reversal of 4002414144 is 4414142004.

It is a happy number.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24554607 + ... + 24554769.

Almost surely, 2^4002414144 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 4002414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5758525440).

4002414144 is an abundant number, since it is smaller than the sum of its proper divisors (7514636736).

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

4002414144 is a wasteful number, since it uses less digits than its factorization.

4002414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 367 counting only the distinct ones).

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

The square root of 4002414144 is about 63264.6358086411. The cubic root of 4002414144 is about 1587.7203389702.

Adding to 4002414144 its reverse (4414142004), we get a palindrome (8416556148).

The spelling of 4002414144 in words is "four billion, two million, four hundred fourteen thousand, one hundred forty-four".