42003630024 has 16 divisors (see below), whose sum is σ = 105009075120. Its totient is φ = 14001210000.

The previous prime is 42003629989. The next prime is 42003630037.

It is a happy number.

42003630024 is nontrivially palindromic in base 10.

42003630024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 1750151251 = 42003630024 / (4 + 2 + 0 + 0 + 3 + 6 + 3 + 0 + 0 + 2 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 42003629976 and 42003630003.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 875075602 + ... + 875075649.

It is an arithmetic number, because the mean of its divisors is an integer number (6563067195).

Almost surely, 2^42003630024 is an apocalyptic number.

It is an amenable number.

42003630024 is an abundant number, since it is smaller than the sum of its proper divisors (63005445096).

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

42003630024 is a wasteful number, since it uses less digits than its factorization.

42003630024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750151260 (or 1750151256 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The spelling of 42003630024 in words is "forty-two billion, three million, six hundred thirty thousand, twenty-four".