920240042029 has 48 divisors (see below), whose sum is σ = 1184784909120. Its totient is φ = 706657271040.

The previous prime is 920240042027. The next prime is 920240042081.

920240042029 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 920240042029 - 2¹ = 920240042027 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 920240041985 and 920240042003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920240042021) 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 47 ways as a sum of consecutive naturals, for example, 50473087 + ... + 50491315.

It is an arithmetic number, because the mean of its divisors is an integer number (24683018940).

Almost surely, 2^920240042029 is an apocalyptic number.

It is an amenable number.

920240042029 is a deficient number, since it is larger than the sum of its proper divisors (264544867091).

920240042029 is a wasteful number, since it uses less digits than its factorization.

920240042029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19610 (or 19603 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

It can be divided in two parts, 9202400 and 42029, that added together give a palindrome (9244429).

The spelling of 920240042029 in words is "nine hundred twenty billion, two hundred forty million, forty-two thousand, twenty-nine".