4038751377752 has 512 divisors, whose sum is σ = 10456365427200. Its totient is φ = 1416993177600.

The previous prime is 4038751377751. The next prime is 4038751377799. The reversal of 4038751377752 is 2577731578304.

4038751377752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4038751377691 and 4038751377700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4038751377751) 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, 4584280352 + ... + 4584281232.

It is an arithmetic number, because the mean of its divisors is an integer number (20422588725).

Almost surely, 2^{4038751377752} 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 4038751377752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228182713600).

4038751377752 is an abundant number, since it is smaller than the sum of its proper divisors (6417614049448).

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

4038751377752 is a wasteful number, since it uses less digits than its factorization.

4038751377752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 34574400, while the sum is 59.

The spelling of 4038751377752 in words is "four trillion, thirty-eight billion, seven hundred fifty-one million, three hundred seventy-seven thousand, seven hundred fifty-two".