42104240000 has 320 divisors, whose sum is σ = 112619762640. Its totient is φ = 15618048000.

The previous prime is 42104239999. The next prime is 42104240011. The reversal of 42104240000 is 4240124.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (17).

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 39 ways as a sum of consecutive naturals, for example, 112879814 + ... + 112880186.

Almost surely, 2^42104240000 is an apocalyptic number.

42104240000 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 42104240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56309881320).

42104240000 is an abundant number, since it is smaller than the sum of its proper divisors (70515522640).

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

42104240000 is an equidigital number, since it uses as much as digits as its factorization.

42104240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 42104240000 its reverse (4240124), we get a palindrome (42108480124).

The spelling of 42104240000 in words is "forty-two billion, one hundred four million, two hundred forty thousand".