38033018819140 has 192 divisors, whose sum is σ = 81753366744000. Its totient is φ = 14860396199936.

The previous prime is 38033018819123. The next prime is 38033018819179. The reversal of 38033018819140 is 4191881033083.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 33246663744064 + 4786355075076 = 5765992^2 + 2187774^2 .

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 63 ways as a sum of consecutive naturals, for example, 26540835864 + ... + 26540837296.

It is an arithmetic number, because the mean of its divisors is an integer number (425798785125).

Almost surely, 2^{38033018819140} is an apocalyptic number.

It is an amenable number.

38033018819140 is an abundant number, since it is smaller than the sum of its proper divisors (43720347924860).

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

38033018819140 is a wasteful number, since it uses less digits than its factorization.

38033018819140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The spelling of 38033018819140 in words is "thirty-eight trillion, thirty-three billion, eighteen million, eight hundred nineteen thousand, one hundred forty".