42201984 has 128 divisors (see below), whose sum is σ = 124750080. Its totient is φ = 12533760.

The previous prime is 42201967. The next prime is 42202001. The reversal of 42201984 is 48910224.

It is an interprime number because it is at equal distance from previous prime (42201967) and next prime (42202001).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409677 + ... + 409779.

It is an arithmetic number, because the mean of its divisors is an integer number (974610).

Almost surely, 2^42201984 is an apocalyptic number.

42201984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62375040).

42201984 is an abundant number, since it is smaller than the sum of its proper divisors (82548096).

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

42201984 is a wasteful number, since it uses less digits than its factorization.

42201984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 42201984 is about 6496.3054115397. The cubic root of 42201984 is about 348.1589972353.

The spelling of 42201984 in words is "forty-two million, two hundred one thousand, nine hundred eighty-four".