4005338626848 has 192 divisors, whose sum is σ = 11654768885760. Its totient is φ = 1196690568192.

The previous prime is 4005338626829. The next prime is 4005338626859. The reversal of 4005338626848 is 8486268335004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7180473 + ... + 7718151.

It is an arithmetic number, because the mean of its divisors is an integer number (60701921280).

Almost surely, 2^{4005338626848} is an apocalyptic number.

4005338626848 is a gapful number since it is divisible by the number (48) 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 4005338626848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5827384442880).

4005338626848 is an abundant number, since it is smaller than the sum of its proper divisors (7649430258912).

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

4005338626848 is a wasteful number, since it uses less digits than its factorization.

4005338626848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537879 (or 537871 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 57.

The spelling of 4005338626848 in words is "four trillion, five billion, three hundred thirty-eight million, six hundred twenty-six thousand, eight hundred forty-eight".