104144031420000 has 960 divisors, whose sum is σ = 401752493049600. Its totient is φ = 23280768000000.

The previous prime is 104144031419977. The next prime is 104144031420029. The reversal of 104144031420000 is 24130441401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9017574226 + ... + 9017585774.

It is an arithmetic number, because the mean of its divisors is an integer number (418492180260).

Almost surely, 2^{104144031420000} is an apocalyptic number.

104144031420000 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 104144031420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200876246524800).

104144031420000 is an abundant number, since it is smaller than the sum of its proper divisors (297608461629600).

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

104144031420000 is a wasteful number, since it uses less digits than its factorization.

104144031420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12657 (or 12634 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 104144031420000 its reverse (24130441401), we get a palindrome (104168161861401).

The spelling of 104144031420000 in words is "one hundred four trillion, one hundred forty-four billion, thirty-one million, four hundred twenty thousand".