104434302440 has 64 divisors (see below), whose sum is σ = 253262494800. Its totient is φ = 38528335872.

The previous prime is 104434302419. The next prime is 104434302449. The reversal of 104434302440 is 44203434401.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 545409316 + 103888893124 = 23354^2 + 322318^2 .

It is a super-2 number, since 2×104434302440² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104434302449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 547976 + ... + 713544.

Almost surely, 2^104434302440 is an apocalyptic number.

104434302440 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 104434302440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126631247400).

104434302440 is an abundant number, since it is smaller than the sum of its proper divisors (148828192360).

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

104434302440 is a wasteful number, since it uses less digits than its factorization.

104434302440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166806 (or 166802 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 104434302440 its reverse (44203434401), we get a palindrome (148637736841).

The spelling of 104434302440 in words is "one hundred four billion, four hundred thirty-four million, three hundred two thousand, four hundred forty".