10413447440 has 80 divisors (see below), whose sum is σ = 26674024896. Its totient is φ = 3749184000.

The previous prime is 10413447419. The next prime is 10413447449. The reversal of 10413447440 is 4474431401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 10413447397 and 10413447406.

It is not an unprimeable number, because it can be changed into a prime (10413447449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30299 + ... + 147461.

Almost surely, 2^10413447440 is an apocalyptic number.

10413447440 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 10413447440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13337012448).

10413447440 is an abundant number, since it is smaller than the sum of its proper divisors (16260577456).

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

10413447440 is a wasteful number, since it uses less digits than its factorization.

10413447440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117288 (or 117282 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

Adding to 10413447440 its reverse (4474431401), we get a palindrome (14887878841).

The spelling of 10413447440 in words is "ten billion, four hundred thirteen million, four hundred forty-seven thousand, four hundred forty".