10409940 has 72 divisors (see below), whose sum is σ = 31868928. Its totient is φ = 2750400.

The previous prime is 10409939. The next prime is 10409947. The reversal of 10409940 is 4990401.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10409947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26989 + ... + 27371.

It is an arithmetic number, because the mean of its divisors is an integer number (442624).

Almost surely, 2^10409940 is an apocalyptic number.

10409940 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 10409940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15934464).

10409940 is an abundant number, since it is smaller than the sum of its proper divisors (21458988).

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

10409940 is a wasteful number, since it uses less digits than its factorization.

10409940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10409940 is about 3226.4438628310. The cubic root of 10409940 is about 218.3480957846.

The spelling of 10409940 in words is "ten million, four hundred nine thousand, nine hundred forty".