104414321510400 has 576 divisors, whose sum is σ = 380215524648960. Its totient is φ = 25066767974400.

The previous prime is 104414321510347. The next prime is 104414321510417. The reversal of 104414321510400 is 4015123414401.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 173728809 + ... + 174328791.

It is an arithmetic number, because the mean of its divisors is an integer number (660096396960).

Almost surely, 2^{104414321510400} is an apocalyptic number.

104414321510400 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 104414321510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190107762324480).

104414321510400 is an abundant number, since it is smaller than the sum of its proper divisors (275801203138560).

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

104414321510400 is a wasteful number, since it uses less digits than its factorization.

104414321510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600132 (or 600107 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 104414321510400 its reverse (4015123414401), we get a palindrome (108429444924801).

The spelling of 104414321510400 in words is "one hundred four trillion, four hundred fourteen billion, three hundred twenty-one million, five hundred ten thousand, four hundred".