38042365171200 has 480 divisors, whose sum is σ = 136325653412256. Its totient is φ = 9295905423360.

The previous prime is 38042365171177. The next prime is 38042365171229. The reversal of 38042365171200 is 217156324083.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68112274 + ... + 68668526.

Almost surely, 2^{38042365171200} is an apocalyptic number.

38042365171200 is a gapful number since it is divisible by the number (30) 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 38042365171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68162826706128).

38042365171200 is an abundant number, since it is smaller than the sum of its proper divisors (98283288241056).

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

38042365171200 is a wasteful number, since it uses less digits than its factorization.

38042365171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556434 (or 556413 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 38042365171200 in words is "thirty-eight trillion, forty-two billion, three hundred sixty-five million, one hundred seventy-one thousand, two hundred".