4144074002418 has 256 divisors, whose sum is σ = 10256523264000. Its totient is φ = 1090134609408.

The previous prime is 4144074002417. The next prime is 4144074002503. The reversal of 4144074002418 is 8142004704414.

It is not an unprimeable number, because it can be changed into a prime (4144074002417) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1099513638 + ... + 1099517406.

It is an arithmetic number, because the mean of its divisors is an integer number (40064544000).

Almost surely, 2^{4144074002418} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4144074002418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5128261632000).

4144074002418 is an abundant number, since it is smaller than the sum of its proper divisors (6112449261582).

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

4144074002418 is a wasteful number, since it uses less digits than its factorization.

4144074002418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4149.

The product of its (nonzero) digits is 114688, while the sum is 39.

The spelling of 4144074002418 in words is "four trillion, one hundred forty-four billion, seventy-four million, two thousand, four hundred eighteen".