104243509440 has 672 divisors, whose sum is σ = 433777095360. Its totient is φ = 23493722112.

The previous prime is 104243509411. The next prime is 104243509459. The reversal of 104243509440 is 44905342401.

104243509440 is a `hidden beast` number, since 104 + 2 + 4 + 3 + 509 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×104243509440² (a number of 23 digits) contains 22 as substring.

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 = 104243509395 and 104243509404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30903594 + ... + 30906966.

It is an arithmetic number, because the mean of its divisors is an integer number (645501630).

Almost surely, 2^104243509440 is an apocalyptic number.

104243509440 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 104243509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216888547680).

104243509440 is an abundant number, since it is smaller than the sum of its proper divisors (329533585920).

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

104243509440 is a wasteful number, since it uses less digits than its factorization.

104243509440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 104243509440 in words is "one hundred four billion, two hundred forty-three million, five hundred nine thousand, four hundred forty".