10540440 has 192 divisors, whose sum is σ = 38188800. Its totient is φ = 2509056.

The previous prime is 10540429. The next prime is 10540451. The reversal of 10540440 is 4404501.

It is an interprime number because it is at equal distance from previous prime (10540429) and next prime (10540451).

It is a super-3 number, since 3×10540440³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157287 + ... + 157353.

It is an arithmetic number, because the mean of its divisors is an integer number (198900).

Almost surely, 2^10540440 is an apocalyptic number.

10540440 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 10540440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19094400).

10540440 is an abundant number, since it is smaller than the sum of its proper divisors (27648360).

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

10540440 is a wasteful number, since it uses less digits than its factorization.

10540440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 10540440 is about 3246.6043799638. The cubic root of 10540440 is about 219.2567202748.

Adding to 10540440 its reverse (4404501), we get a palindrome (14944941).

The spelling of 10540440 in words is "ten million, five hundred forty thousand, four hundred forty".