10042440 has 64 divisors (see below), whose sum is σ = 30715200. Its totient is φ = 2625792.

The previous prime is 10042433. The next prime is 10042441. The reversal of 10042440 is 4424001.

It is a super-3 number, since 3×10042440³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042441) 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, 5571 + ... + 7149.

It is an arithmetic number, because the mean of its divisors is an integer number (479925).

Almost surely, 2^10042440 is an apocalyptic number.

10042440 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 10042440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15357600).

10042440 is an abundant number, since it is smaller than the sum of its proper divisors (20672760).

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

10042440 is a wasteful number, since it uses less digits than its factorization.

10042440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 10042440 is about 3168.9809087465. The cubic root of 10042440 is about 215.7478195480.

Adding to 10042440 its reverse (4424001), we get a palindrome (14466441).

The spelling of 10042440 in words is "ten million, forty-two thousand, four hundred forty".