104244463440 has 240 divisors, whose sum is σ = 377820817920. Its totient is φ = 25605504000.

The previous prime is 104244463439. The next prime is 104244463441. The reversal of 104244463440 is 44364442401.

104244463440 is a `hidden beast` number, since 10 + 4 + 2 + 4 + 4 + 4 + 634 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104244463439) and next prime (104244463441).

It is a tau number, because it is divible by the number of its divisors (240).

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 = 104244463395 and 104244463404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104244463441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4471815 + ... + 4495065.

It is an arithmetic number, because the mean of its divisors is an integer number (1574253408).

Almost surely, 2^104244463440 is an apocalyptic number.

104244463440 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 104244463440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188910408960).

104244463440 is an abundant number, since it is smaller than the sum of its proper divisors (273576354480).

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

104244463440 is a wasteful number, since it uses less digits than its factorization.

104244463440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23762 (or 23753 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 104244463440 in words is "one hundred four billion, two hundred forty-four million, four hundred sixty-three thousand, four hundred forty".