42004121526 has 96 divisors (see below), whose sum is σ = 97066584576. Its totient is φ = 13081824000.

The previous prime is 42004121521. The next prime is 42004121567. The reversal of 42004121526 is 62512140024.

42004121526 is a `hidden beast` number, since 420 + 0 + 4 + 1 + 215 + 26 = 666.

42004121526 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42004121526.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42004121521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40740631 + ... + 40741661.

It is an arithmetic number, because the mean of its divisors is an integer number (1011110256).

Almost surely, 2^42004121526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42004121526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48533292288).

42004121526 is an abundant number, since it is smaller than the sum of its proper divisors (55062463050).

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

42004121526 is a wasteful number, since it uses less digits than its factorization.

42004121526 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 42004121526 in words is "forty-two billion, four million, one hundred twenty-one thousand, five hundred twenty-six".