42240420240 has 80 divisors (see below), whose sum is σ = 131493369600. Its totient is φ = 11216966656.

The previous prime is 42240420239. The next prime is 42240420259. The reversal of 42240420240 is 4202404224.

42240420240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42240420240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310845 + ... + 425564.

It is an arithmetic number, because the mean of its divisors is an integer number (1643667120).

Almost surely, 2^42240420240 is an apocalyptic number.

42240420240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42240420240 is an abundant number, since it is smaller than the sum of its proper divisors (89252949360).

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

42240420240 is a wasteful number, since it uses less digits than its factorization.

42240420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736664 (or 736658 counting only the distinct ones).

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

Adding to 42240420240 its reverse (4202404224), we get a palindrome (46442824464).

The spelling of 42240420240 in words is "forty-two billion, two hundred forty million, four hundred twenty thousand, two hundred forty".