104314440240 has 480 divisors, whose sum is σ = 369184495680. Its totient is φ = 26370048000.

The previous prime is 104314440229. The next prime is 104314440253. The reversal of 104314440240 is 42044413401.

104314440240 is a `hidden beast` number, since 104 + 314 + 4 + 4 + 0 + 240 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175909384 + ... + 175909976.

It is an arithmetic number, because the mean of its divisors is an integer number (769134366).

Almost surely, 2^104314440240 is an apocalyptic number.

104314440240 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 104314440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184592247840).

104314440240 is an abundant number, since it is smaller than the sum of its proper divisors (264870055440).

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

104314440240 is a wasteful number, since it uses less digits than its factorization.

104314440240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 104314440240 its reverse (42044413401), we get a palindrome (146358853641).

The spelling of 104314440240 in words is "one hundred four billion, three hundred fourteen million, four hundred forty thousand, two hundred forty".