42002784 has 144 divisors (see below), whose sum is σ = 132324192. Its totient is φ = 12570624.

The previous prime is 42002777. The next prime is 42002791. The reversal of 42002784 is 48720024.

It is an interprime number because it is at equal distance from previous prime (42002777) and next prime (42002791).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112422 + ... + 112794.

It is an arithmetic number, because the mean of its divisors is an integer number (918918).

Almost surely, 2^42002784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42002784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66162096).

42002784 is an abundant number, since it is smaller than the sum of its proper divisors (90321408).

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

42002784 is a wasteful number, since it uses less digits than its factorization.

42002784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 42002784 is about 6480.9554851117. The cubic root of 42002784 is about 347.6103446826.

The spelling of 42002784 in words is "forty-two million, two thousand, seven hundred eighty-four".