42002040 has 64 divisors (see below), whose sum is σ = 129094560. Its totient is φ = 10926080.

The previous prime is 42002033. The next prime is 42002113. The reversal of 42002040 is 4020024.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 652 + ... + 9188.

Almost surely, 2^42002040 is an apocalyptic number.

42002040 is a gapful number since it is divisible by the number (40) 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 42002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64547280).

42002040 is an abundant number, since it is smaller than the sum of its proper divisors (87092520).

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

42002040 is a wasteful number, since it uses less digits than its factorization.

42002040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8592 (or 8588 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 42002040 is about 6480.8980859137. The cubic root of 42002040 is about 347.6082922502.

Adding to 42002040 its reverse (4020024), we get a palindrome (46022064).

The spelling of 42002040 in words is "forty-two million, two thousand, forty", and thus it is an eban number.