10041413144 has 64 divisors (see below), whose sum is σ = 21775703040. Its totient is φ = 4251980160.

The previous prime is 10041413059. The next prime is 10041413177. The reversal of 10041413144 is 44131414001.

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, 2899574 + ... + 2903034.

It is an arithmetic number, because the mean of its divisors is an integer number (340245360).

Almost surely, 2^10041413144 is an apocalyptic number.

10041413144 is a gapful number since it is divisible by the number (14) 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 10041413144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10887851520).

10041413144 is an abundant number, since it is smaller than the sum of its proper divisors (11734289896).

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

10041413144 is a wasteful number, since it uses less digits than its factorization.

10041413144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4080 (or 4076 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 10041413144 its reverse (44131414001), we get a palindrome (54172827145).

The spelling of 10041413144 in words is "ten billion, forty-one million, four hundred thirteen thousand, one hundred forty-four".