104538205440 has 216 divisors, whose sum is σ = 361984616448. Its totient is φ = 27854254080.

The previous prime is 104538205423. The next prime is 104538205511. The reversal of 104538205440 is 44502835401.

It is a happy number.

104538205440 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 3 + 8 + 205 + 440 = 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 = 104538205395 and 104538205404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18048945 + ... + 18054735.

Almost surely, 2^104538205440 is an apocalyptic number.

104538205440 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 104538205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180992308224).

104538205440 is an abundant number, since it is smaller than the sum of its proper divisors (257446411008).

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

104538205440 is a wasteful number, since it uses less digits than its factorization.

104538205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7385 (or 7368 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 104538205440 in words is "one hundred four billion, five hundred thirty-eight million, two hundred five thousand, four hundred forty".