104034441030400 has 432 divisors, whose sum is σ = 265911286088448. Its totient is φ = 40282564608000.

The previous prime is 104034441030391. The next prime is 104034441030551. The reversal of 104034441030400 is 4030144430401.

It is a happy 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, 5785789410 + ... + 5785807390.

It is an arithmetic number, because the mean of its divisors is an integer number (615535384464).

Almost surely, 2^{104034441030400} is an apocalyptic number.

104034441030400 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 104034441030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132955643044224).

104034441030400 is an abundant number, since it is smaller than the sum of its proper divisors (161876845058048).

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

104034441030400 is a wasteful number, since it uses less digits than its factorization.

104034441030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18308 (or 18289 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 104034441030400 its reverse (4030144430401), we get a palindrome (108064585460801).

The spelling of 104034441030400 in words is "one hundred four trillion, thirty-four billion, four hundred forty-one million, thirty thousand, four hundred".