42002009984 has 32 divisors (see below), whose sum is σ = 91282780440. Its totient is φ = 19091822080.

The previous prime is 42002009977. The next prime is 42002009993. The reversal of 42002009984 is 48990020024.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14914079 + ... + 14916894.

Almost surely, 2^42002009984 is an apocalyptic number.

42002009984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42002009984 is an abundant number, since it is smaller than the sum of its proper divisors (49280770456).

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

42002009984 is a wasteful number, since it uses less digits than its factorization.

42002009984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29830998 (or 29830986 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 42002009984 in words is "forty-two billion, two million, nine thousand, nine hundred eighty-four".