104434004410000 has 100 divisors (see below), whose sum is σ = 267718413693852. Its totient is φ = 39316331008000.

The previous prime is 104434004409971. The next prime is 104434004410069. The reversal of 104434004410000 is 14400434401.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 72674738402704 + 31759266007296 = 8524948^2 + 5635536^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×104434004410000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 306988837 + ... + 307328836.

Almost surely, 2^{104434004410000} is an apocalyptic number.

104434004410000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104434004410000 is an abundant number, since it is smaller than the sum of its proper divisors (163284409283852).

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

104434004410000 is an equidigital number, since it uses as much as digits as its factorization.

104434004410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614317718 (or 614317697 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 104434004410000 its reverse (14400434401), we get a palindrome (104448404844401).

The spelling of 104434004410000 in words is "one hundred four trillion, four hundred thirty-four billion, four million, four hundred ten thousand".