4538626838406 has 192 divisors, whose sum is σ = 10596521295360. Its totient is φ = 1398934748160.

The previous prime is 4538626838401. The next prime is 4538626838413. The reversal of 4538626838406 is 6048386268354.

It is a happy number.

4538626838406 is a `hidden beast` number, since 4 + 53 + 86 + 26 + 83 + 8 + 406 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4538626838401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3180536665 + ... + 3180538091.

It is an arithmetic number, because the mean of its divisors is an integer number (55190215080).

Almost surely, 2^{4538626838406} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4538626838406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298260647680).

4538626838406 is an abundant number, since it is smaller than the sum of its proper divisors (6057894456954).

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

4538626838406 is a wasteful number, since it uses less digits than its factorization.

4538626838406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 63.

The spelling of 4538626838406 in words is "four trillion, five hundred thirty-eight billion, six hundred twenty-six million, eight hundred thirty-eight thousand, four hundred six".