42033308948961 has 32 divisors (see below), whose sum is σ = 64745770093056. Its totient is φ = 23972523168000.

The previous prime is 42033308948959. The next prime is 42033308948989. The reversal of 42033308948961 is 16984980333024.

42033308948961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42033308948961 - 2¹ = 42033308948959 is a prime.

It is a super-2 number, since 2×42033308948961² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42033308948895 and 42033308948904.

It is not an unprimeable number, because it can be changed into a prime (42033308948941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2130055 + ... + 9412956.

It is an arithmetic number, because the mean of its divisors is an integer number (2023305315408).

Almost surely, 2^{42033308948961} is an apocalyptic number.

It is an amenable number.

42033308948961 is a deficient number, since it is larger than the sum of its proper divisors (22712461144095).

42033308948961 is a wasteful number, since it uses less digits than its factorization.

42033308948961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11549533.

The product of its (nonzero) digits is 26873856, while the sum is 60.

The spelling of 42033308948961 in words is "forty-two trillion, thirty-three billion, three hundred eight million, nine hundred forty-eight thousand, nine hundred sixty-one".