42004242240 has 112 divisors (see below), whose sum is σ = 133512641280. Its totient is φ = 11188602880.

The previous prime is 42004242221. The next prime is 42004242281. The reversal of 42004242240 is 4224240024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42004242240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 850546 + ... + 898574.

Almost surely, 2^42004242240 is an apocalyptic number.

42004242240 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 42004242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66756320640).

42004242240 is an abundant number, since it is smaller than the sum of its proper divisors (91508399040).

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

42004242240 is a wasteful number, since it uses less digits than its factorization.

42004242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48960 (or 48950 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 42004242240 its reverse (4224240024), we get a palindrome (46228482264).

The spelling of 42004242240 in words is "forty-two billion, four million, two hundred forty-two thousand, two hundred forty".