104441430144000 has 352 divisors, whose sum is σ = 365696196278400. Its totient is φ = 26385201561600.

The previous prime is 104441430143983. The next prime is 104441430144101. The reversal of 104441430144000 is 441034144401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138556 + ... + 14453444.

Almost surely, 2^{104441430144000} is an apocalyptic number.

104441430144000 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 104441430144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182848098139200).

104441430144000 is an abundant number, since it is smaller than the sum of its proper divisors (261254766134400).

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

104441430144000 is a wasteful number, since it uses less digits than its factorization.

104441430144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14314946 (or 14314918 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 104441430144000 its reverse (441034144401), we get a palindrome (104882464288401).

The spelling of 104441430144000 in words is "one hundred four trillion, four hundred forty-one billion, four hundred thirty million, one hundred forty-four thousand".