10041200442 has 144 divisors (see below), whose sum is σ = 27718498080. Its totient is φ = 2603168064.

The previous prime is 10041200369. The next prime is 10041200479. The reversal of 10041200442 is 24400214001.

10041200442 is a `hidden beast` number, since 100 + 4 + 120 + 0 + 442 = 666.

It is a super-3 number, since 3×10041200442³ (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 669073 + ... + 683915.

It is an arithmetic number, because the mean of its divisors is an integer number (192489570).

Almost surely, 2^10041200442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10041200442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13859249040).

10041200442 is an abundant number, since it is smaller than the sum of its proper divisors (17677297638).

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

10041200442 is a wasteful number, since it uses less digits than its factorization.

10041200442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14937 (or 14927 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10041200442 its reverse (24400214001), we get a palindrome (34441414443).

The spelling of 10041200442 in words is "ten billion, forty-one million, two hundred thousand, four hundred forty-two".