42000002000 has 80 divisors (see below), whose sum is σ = 110788426944. Its totient is φ = 15272720000.

The previous prime is 42000001997. The next prime is 42000002021. The reversal of 42000002000 is 20000024.

42000002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 932546 + ... + 976545.

Almost surely, 2^42000002000 is an apocalyptic number.

42000002000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42000002000 is an abundant number, since it is smaller than the sum of its proper divisors (68788424944).

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

42000002000 is a wasteful number, since it uses less digits than its factorization.

42000002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909125 (or 1909109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 42000002000 its reverse (20000024), we get a palindrome (42020002024).

The spelling of 42000002000 in words is "forty-two billion, two thousand", and thus it is an eban number.