42000240 has 80 divisors (see below), whose sum is σ = 131241600. Its totient is φ = 11110656.

The previous prime is 42000199. The next prime is 42000247. The reversal of 42000240 is 4200024.

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 (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 not an unprimeable number, because it can be changed into a prime (42000247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32731 + ... + 33989.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 2^42000240 is an apocalyptic number.

42000240 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 42000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65620800).

42000240 is an abundant number, since it is smaller than the sum of its proper divisors (89241360).

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

42000240 is a wasteful number, since it uses less digits than its factorization.

42000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1408 counting only the distinct ones).

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

The square root of 42000240 is about 6480.7592147834. The cubic root of 42000240 is about 347.6033265877.

Adding to 42000240 its reverse (4200024), we get a palindrome (46200264).

The spelling of 42000240 in words is "forty-two million, two hundred forty", and thus it is an aban number.