10417440 has 96 divisors (see below), whose sum is σ = 35816256. Its totient is φ = 2524160.

The previous prime is 10417427. The next prime is 10417441. The reversal of 10417440 is 4471401.

10417440 is digitally balanced in base 2 and base 4, because in such bases 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 (96).

It is not an unprimeable number, because it can be changed into a prime (10417441) 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, 4294 + ... + 6266.

It is an arithmetic number, because the mean of its divisors is an integer number (373086).

Almost surely, 2^10417440 is an apocalyptic number.

10417440 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 10417440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17908128).

10417440 is an abundant number, since it is smaller than the sum of its proper divisors (25398816).

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

10417440 is a wasteful number, since it uses less digits than its factorization.

10417440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 10417440 is about 3227.6059239009. The cubic root of 10417440 is about 218.4005206015.

Adding to 10417440 its reverse (4471401), we get a palindrome (14888841).

The spelling of 10417440 in words is "ten million, four hundred seventeen thousand, four hundred forty".