38041350392448 has 256 divisors, whose sum is σ = 121357549555200. Its totient is φ = 11661835161600.

The previous prime is 38041350392389. The next prime is 38041350392603. The reversal of 38041350392448 is 84429305314083.

38041350392448 is a `hidden beast` number, since 3 + 8 + 0 + 4 + 1 + 3 + 503 + 92 + 4 + 48 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 = 38041350392394 and 38041350392403.

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, 10613278 + ... + 13737698.

It is an arithmetic number, because the mean of its divisors is an integer number (474052927950).

Almost surely, 2^{38041350392448} 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 38041350392448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60678774777600).

38041350392448 is an abundant number, since it is smaller than the sum of its proper divisors (83316199162752).

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

38041350392448 is a wasteful number, since it uses less digits than its factorization.

38041350392448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124728 (or 3124710 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 38041350392448 in words is "thirty-eight trillion, forty-one billion, three hundred fifty million, three hundred ninety-two thousand, four hundred forty-eight".