104242123440 has 480 divisors, whose sum is σ = 440047835136. Its totient is φ = 21525350400.

The previous prime is 104242123439. The next prime is 104242123441. The reversal of 104242123440 is 44321242401.

104242123440 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 4 + 212 + 3 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (104242123439) and next prime (104242123441).

It is not an unprimeable number, because it can be changed into a prime (104242123441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3062515 + ... + 3096365.

Almost surely, 2^104242123440 is an apocalyptic number.

104242123440 is a gapful number since it is divisible by the number (10) 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 104242123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220023917568).

104242123440 is an abundant number, since it is smaller than the sum of its proper divisors (335805711696).

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

104242123440 is a wasteful number, since it uses less digits than its factorization.

104242123440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33937 (or 33928 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 104242123440 its reverse (44321242401), we get a palindrome (148563365841).

The spelling of 104242123440 in words is "one hundred four billion, two hundred forty-two million, one hundred twenty-three thousand, four hundred forty".