104738605440 has 384 divisors, whose sum is σ = 398870632800. Its totient is φ = 23292444672.

The previous prime is 104738605379. The next prime is 104738605451. The reversal of 104738605440 is 44506837401.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 104738605392 and 104738605401.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3465916 + ... + 3496004.

Almost surely, 2^104738605440 is an apocalyptic number.

104738605440 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 104738605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199435316400).

104738605440 is an abundant number, since it is smaller than the sum of its proper divisors (294132027360).

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

104738605440 is a wasteful number, since it uses less digits than its factorization.

104738605440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30162 (or 30143 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 104738605440 in words is "one hundred four billion, seven hundred thirty-eight million, six hundred five thousand, four hundred forty".