10041424 has 80 divisors (see below), whose sum is σ = 22766400. Its totient is φ = 4257792.

The previous prime is 10041419. The next prime is 10041431. The reversal of 10041424 is 42414001.

10041424 = T₂₄₉ + T₂₅₀ + ... + T₄₂₂.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10041398 and 10041407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149839 + ... + 149905.

It is an arithmetic number, because the mean of its divisors is an integer number (284580).

Almost surely, 2^10041424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10041424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11383200).

10041424 is an abundant number, since it is smaller than the sum of its proper divisors (12724976).

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

10041424 is a wasteful number, since it uses less digits than its factorization.

10041424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 10041424 is about 3168.8206007914. The cubic root of 10041424 is about 215.7405435215.

Adding to 10041424 its reverse (42414001), we get a palindrome (52455425).

The spelling of 10041424 in words is "ten million, forty-one thousand, four hundred twenty-four".