104414145024 has 480 divisors, whose sum is σ = 335040520320. Its totient is φ = 28293857280.

The previous prime is 104414145019. The next prime is 104414145041. The reversal of 104414145024 is 420541414401.

It is a junction number, because it is equal to n+sod(n) for n = 104414144982 and 104414145000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 957927882 + ... + 957927990.

It is an arithmetic number, because the mean of its divisors is an integer number (698001084).

Almost surely, 2^104414145024 is an apocalyptic number.

104414145024 is a gapful number since it is divisible by the number (14) 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 104414145024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167520260160).

104414145024 is an abundant number, since it is smaller than the sum of its proper divisors (230626375296).

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

104414145024 is an equidigital number, since it uses as much as digits as its factorization.

104414145024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 104414145024 its reverse (420541414401), we get a palindrome (524955559425).

The spelling of 104414145024 in words is "one hundred four billion, four hundred fourteen million, one hundred forty-five thousand, twenty-four".