42000628240 has 20 divisors (see below), whose sum is σ = 97651460844. Its totient is φ = 16800251264.

The previous prime is 42000628223. The next prime is 42000628249. The reversal of 42000628240 is 4282600024.

42000628240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 30727285264 + 11273342976 = 175292^2 + 106176^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 42000628199 and 42000628208.

It is not an unprimeable number, because it can be changed into a prime (42000628249) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 262503847 + ... + 262504006.

Almost surely, 2^42000628240 is an apocalyptic number.

42000628240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42000628240 is an abundant number, since it is smaller than the sum of its proper divisors (55650832604).

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

42000628240 is a wasteful number, since it uses less digits than its factorization.

42000628240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525007866 (or 525007860 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The spelling of 42000628240 in words is "forty-two billion, six hundred twenty-eight thousand, two hundred forty".