42004211240024 has 32 divisors (see below), whose sum is σ = 87005270707200. Its totient is φ = 18851141980320.

The previous prime is 42004211240009. The next prime is 42004211240041.

It is a happy number.

42004211240024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42004211239975 and 42004211240002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3021009392 + ... + 3021023295.

It is an arithmetic number, because the mean of its divisors is an integer number (2718914709600).

Almost surely, 2^{42004211240024} is an apocalyptic number.

42004211240024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42004211240024 is an abundant number, since it is smaller than the sum of its proper divisors (45001059467176).

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

42004211240024 is a wasteful number, since it uses less digits than its factorization.

42004211240024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6042032783 (or 6042032779 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

It can be divided in two parts, 4200421 and 1240024, that added together give a palindrome (5440445).

The spelling of 42004211240024 in words is "forty-two trillion, four billion, two hundred eleven million, two hundred forty thousand, twenty-four".