10042240 has 128 divisors (see below), whose sum is σ = 27760320. Its totient is φ = 3440640.

The previous prime is 10042199. The next prime is 10042289. The reversal of 10042240 is 4224001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 10042240.

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, 141405 + ... + 141475.

Almost surely, 2^10042240 is an apocalyptic number.

10042240 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 10042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13880160).

10042240 is an abundant number, since it is smaller than the sum of its proper divisors (17718080).

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

10042240 is a wasteful number, since it uses less digits than its factorization.

10042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 10042240 is about 3168.9493527035. The cubic root of 10042240 is about 215.7463872981.

Adding to 10042240 its reverse (4224001), we get a palindrome (14266241).

The spelling of 10042240 in words is "ten million, forty-two thousand, two hundred forty".