104244341030400 has 480 divisors, whose sum is σ = 355936206624768. Its totient is φ = 26866726502400.

The previous prime is 104244341030393. The next prime is 104244341030429. The reversal of 104244341030400 is 4030143442401.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×104244341030400³ (a number of 43 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 920122557 + ... + 920235843.

Almost surely, 2^{104244341030400} is an apocalyptic number.

104244341030400 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 104244341030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177968103312384).

104244341030400 is an abundant number, since it is smaller than the sum of its proper divisors (251691865594368).

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

104244341030400 is a wasteful number, since it uses less digits than its factorization.

104244341030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114122 (or 114101 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 104244341030400 its reverse (4030143442401), we get a palindrome (108274484472801).

The spelling of 104244341030400 in words is "one hundred four trillion, two hundred forty-four billion, three hundred forty-one million, thirty thousand, four hundred".