37800740137041 has 144 divisors (see below), whose sum is σ = 67058211542400. Its totient is φ = 20847548316672.

The previous prime is 37800740137021. The next prime is 37800740137051. The reversal of 37800740137041 is 14073104700873.

It is a happy number.

It is not a de Polignac number, because 37800740137041 - 2⁹ = 37800740136529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (37800740137021) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 5651176225 + ... + 5651182913.

It is an arithmetic number, because the mean of its divisors is an integer number (465682024600).

Almost surely, 2^{37800740137041} is an apocalyptic number.

It is an amenable number.

37800740137041 is a deficient number, since it is larger than the sum of its proper divisors (29257471405359).

37800740137041 is an frugal number, since it uses more digits than its factorization.

37800740137041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10992 (or 10971 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 37800740137041 in words is "thirty-seven trillion, eight hundred billion, seven hundred forty million, one hundred thirty-seven thousand, forty-one".