10435444400 has 60 divisors (see below), whose sum is σ = 25112383032. Its totient is φ = 4167313920.

The previous prime is 10435444391. The next prime is 10435444421. The reversal of 10435444400 is 444453401.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225659 + ... + 267941.

Almost surely, 2^10435444400 is an apocalyptic number.

10435444400 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 10435444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12556191516).

10435444400 is an abundant number, since it is smaller than the sum of its proper divisors (14676938632).

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

10435444400 is a wasteful number, since it uses less digits than its factorization.

10435444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42918 (or 42907 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 10435444400 its reverse (444453401), we get a palindrome (10879897801).

Subtracting from 10435444400 its reverse (444453401), we obtain a palindrome (9990990999).

The spelling of 10435444400 in words is "ten billion, four hundred thirty-five million, four hundred forty-four thousand, four hundred".