42104120240 has 240 divisors, whose sum is σ = 122919757632. Its totient is φ = 13294245888.

The previous prime is 42104120173. The next prime is 42104120243. The reversal of 42104120240 is 4202140124.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (42104120243) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 32970482 + ... + 32971758.

Almost surely, 2^42104120240 is an apocalyptic number.

42104120240 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 42104120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61459878816).

42104120240 is an abundant number, since it is smaller than the sum of its proper divisors (80815637392).

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

42104120240 is a wasteful number, since it uses less digits than its factorization.

42104120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 42104120240 its reverse (4202140124), we get a palindrome (46306260364).

The spelling of 42104120240 in words is "forty-two billion, one hundred four million, one hundred twenty thousand, two hundred forty".