4038865538400 has 1728 divisors, whose sum is σ = 18138519060480. Its totient is φ = 821358489600.

The previous prime is 4038865538387. The next prime is 4038865538459. The reversal of 4038865538400 is 48355688304.

4038865538400 is a `hidden beast` number, since 4 + 0 + 3 + 8 + 8 + 6 + 553 + 84 + 0 + 0 = 666.

4038865538400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8431869361 + ... + 8431869839.

It is an arithmetic number, because the mean of its divisors is an integer number (10496828160).

Almost surely, 2^{4038865538400} is an apocalyptic number.

4038865538400 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 4038865538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9069259530240).

4038865538400 is an abundant number, since it is smaller than the sum of its proper divisors (14099653522080).

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

4038865538400 is a wasteful number, since it uses less digits than its factorization.

4038865538400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 4038865538400 in words is "four trillion, thirty-eight billion, eight hundred sixty-five million, five hundred thirty-eight thousand, four hundred".