104435422223040 has 336 divisors, whose sum is σ = 376336275194880. Its totient is φ = 26548820305920.

The previous prime is 104435422223003. The next prime is 104435422223063. The reversal of 104435422223040 is 40322224534401.

104435422223040 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 3 + 5 + 422 + 223 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104435422222986 and 104435422223004.

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, 2747730 + ... + 14711249.

It is an arithmetic number, because the mean of its divisors is an integer number (1120048438080).

Almost surely, 2^{104435422223040} is an apocalyptic number.

104435422223040 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 104435422223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188168137597440).

104435422223040 is an abundant number, since it is smaller than the sum of its proper divisors (271900852971840).

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

104435422223040 is a wasteful number, since it uses less digits than its factorization.

104435422223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17459100 (or 17459087 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 104435422223040 its reverse (40322224534401), we get a palindrome (144757646757441).

The spelling of 104435422223040 in words is "one hundred four trillion, four hundred thirty-five billion, four hundred twenty-two million, two hundred twenty-three thousand, forty".