104215530144400 has 120 divisors (see below), whose sum is σ = 255735873820800. Its totient is φ = 40794345070080.

The previous prime is 104215530144391. The next prime is 104215530144457. The reversal of 104215530144400 is 4441035512401.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157345126 + ... + 158006074.

It is an arithmetic number, because the mean of its divisors is an integer number (2131132281840).

Almost surely, 2^{104215530144400} is an apocalyptic number.

104215530144400 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 104215530144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127867936910400).

104215530144400 is an abundant number, since it is smaller than the sum of its proper divisors (151520343676400).

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

104215530144400 is a wasteful number, since it uses less digits than its factorization.

104215530144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669401 (or 669390 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 104215530144400 its reverse (4441035512401), we get a palindrome (108656565656801).

The spelling of 104215530144400 in words is "one hundred four trillion, two hundred fifteen billion, five hundred thirty million, one hundred forty-four thousand, four hundred".