104210440224 has 288 divisors, whose sum is σ = 319080928320. Its totient is φ = 29498112000.

The previous prime is 104210440211. The next prime is 104210440231. The reversal of 104210440224 is 422044012401.

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

It is a junction number, because it is equal to n+sod(n) for n = 104210440194 and 104210440203.

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, 29427894 + ... + 29431434.

It is an arithmetic number, because the mean of its divisors is an integer number (1107919890).

Almost surely, 2^104210440224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104210440224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159540464160).

104210440224 is an abundant number, since it is smaller than the sum of its proper divisors (214870488096).

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

104210440224 is a wasteful number, since it uses less digits than its factorization.

104210440224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 104210440224 its reverse (422044012401), we get a palindrome (526254452625).

The spelling of 104210440224 in words is "one hundred four billion, two hundred ten million, four hundred forty thousand, two hundred twenty-four".