38033190441 has 63 divisors (see below), whose sum is σ = 59176483527. Its totient is φ = 24432230880.

The previous prime is 38033190439. The next prime is 38033190463. The reversal of 38033190441 is 14409133083.

The square root of 38033190441 is 195021.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7723773225 + 30309417216 = 87885^2 + 174096^2 .

It is not a de Polignac number, because 38033190441 - 2¹ = 38033190439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38033190396 and 38033190405.

It is not an unprimeable number, because it can be changed into a prime (38033190401) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 163232461 + ... + 163232693.

Almost surely, 2^38033190441 is an apocalyptic number.

38033190441 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

38033190441 is the 195021-st square number.

38033190441 is the 97511-st centered octagonal number.

It is an amenable number.

38033190441 is a deficient number, since it is larger than the sum of its proper divisors (21143293086).

38033190441 is an frugal number, since it uses more digits than its factorization.

38033190441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Multiplying 38033190441 by its sum of digits (36), we get a square (1369194855876 = 1170126²).

The spelling of 38033190441 in words is "thirty-eight billion, thirty-three million, one hundred ninety thousand, four hundred forty-one".