4038276385920 has 512 divisors, whose sum is σ = 15680879424000. Its totient is φ = 862900715520.

The previous prime is 4038276385909. The next prime is 4038276385967. The reversal of 4038276385920 is 295836728304.

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 63 ways as a sum of consecutive naturals, for example, 33984210 + ... + 34102830.

It is an arithmetic number, because the mean of its divisors is an integer number (30626717625).

Almost surely, 2^{4038276385920} is an apocalyptic number.

4038276385920 is a gapful number since it is divisible by the number (40) 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 4038276385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7840439712000).

4038276385920 is an abundant number, since it is smaller than the sum of its proper divisors (11642603038080).

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

4038276385920 is a wasteful number, since it uses less digits than its factorization.

4038276385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118816 (or 118804 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 4038276385920 in words is "four trillion, thirty-eight billion, two hundred seventy-six million, three hundred eighty-five thousand, nine hundred twenty".