10414413440 has 64 divisors (see below), whose sum is σ = 24962549760. Its totient is φ = 4154790912.

The previous prime is 10414413413. The next prime is 10414413461. The reversal of 10414413440 is 4431441401.

10414413440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223877 + ... + 266363.

It is an arithmetic number, because the mean of its divisors is an integer number (390039840).

Almost surely, 2^10414413440 is an apocalyptic number.

10414413440 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 10414413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12481274880).

10414413440 is an abundant number, since it is smaller than the sum of its proper divisors (14548136320).

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

10414413440 is an equidigital number, since it uses as much as digits as its factorization.

10414413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42889 (or 42877 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 10414413440 its reverse (4431441401), we get a palindrome (14845854841).

The spelling of 10414413440 in words is "ten billion, four hundred fourteen million, four hundred thirteen thousand, four hundred forty".