104825480905440 has 768 divisors, whose sum is σ = 382772617113600. Its totient is φ = 26760687206400.

The previous prime is 104825480905427. The next prime is 104825480905463. The reversal of 104825480905440 is 44509084528401.

104825480905440 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 2 + 5 + 4 + 8 + 0 + 90 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7163628364 + ... + 7163642996.

It is an arithmetic number, because the mean of its divisors is an integer number (498401845200).

Almost surely, 2^{104825480905440} is an apocalyptic number.

104825480905440 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 104825480905440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191386308556800).

104825480905440 is an abundant number, since it is smaller than the sum of its proper divisors (277947136208160).

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

104825480905440 is a wasteful number, since it uses less digits than its factorization.

104825480905440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15168 (or 15154 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 104825480905440 in words is "one hundred four trillion, eight hundred twenty-five billion, four hundred eighty million, nine hundred five thousand, four hundred forty".