38129555040048 has 240 divisors, whose sum is σ = 111199886397600. Its totient is φ = 12648150466560.

The previous prime is 38129555040037. The next prime is 38129555040053. The reversal of 38129555040048 is 84004055592183.

38129555040048 is a `hidden beast` number, since 3 + 8 + 1 + 2 + 9 + 5 + 550 + 40 + 0 + 48 = 666.

38129555040048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 38129555039976 and 38129555040003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1395191248 + ... + 1395218576.

It is an arithmetic number, because the mean of its divisors is an integer number (463332859990).

Almost surely, 2^{38129555040048} 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 38129555040048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55599943198800).

38129555040048 is an abundant number, since it is smaller than the sum of its proper divisors (73070331357552).

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

38129555040048 is a wasteful number, since it uses less digits than its factorization.

38129555040048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29082 (or 29064 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 38129555040048 in words is "thirty-eight trillion, one hundred twenty-nine billion, five hundred fifty-five million, forty thousand, forty-eight".