4418268626304 has 768 divisors, whose sum is σ = 14883959462400. Its totient is φ = 1282465198080.

The previous prime is 4418268626203. The next prime is 4418268626411. The reversal of 4418268626304 is 4036268628144.

It is a happy number.

4418268626304 is a `hidden beast` number, since 4 + 4 + 1 + 8 + 2 + 6 + 8 + 626 + 3 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5368491237 + ... + 5368492059.

It is an arithmetic number, because the mean of its divisors is an integer number (19380155550).

Almost surely, 2^{4418268626304} 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 4418268626304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7441979731200).

4418268626304 is an abundant number, since it is smaller than the sum of its proper divisors (10465690836096).

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

4418268626304 is a wasteful number, since it uses less digits than its factorization.

4418268626304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 4418268626304 in words is "four trillion, four hundred eighteen billion, two hundred sixty-eight million, six hundred twenty-six thousand, three hundred four".