42004411440024 has 32 divisors (see below), whose sum is σ = 114557485746240. Its totient is φ = 12728609527200.

The previous prime is 42004411439987. The next prime is 42004411440029.

42004411440024 is nontrivially palindromic in base 10.

42004411440024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42004411439973 and 42004411440000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42004411440029) 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 7 ways as a sum of consecutive naturals, for example, 79553809282 + ... + 79553809809.

It is an arithmetic number, because the mean of its divisors is an integer number (3579921429570).

Almost surely, 2^{42004411440024} is an apocalyptic number.

42004411440024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42004411440024 is an abundant number, since it is smaller than the sum of its proper divisors (72553074306216).

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

42004411440024 is a wasteful number, since it uses less digits than its factorization.

42004411440024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159107619111 (or 159107619107 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 4200441 and 1440024, that added together give a palindrome (5640465).

The spelling of 42004411440024 in words is "forty-two trillion, four billion, four hundred eleven million, four hundred forty thousand, twenty-four".