10041041213424 has 160 divisors (see below), whose sum is σ = 31057816964160. Its totient is φ = 3087632950272.

The previous prime is 10041041213393. The next prime is 10041041213459. The reversal of 10041041213424 is 42431214014001.

10041041213424 is a `hidden beast` number, since 10 + 0 + 4 + 10 + 4 + 1 + 213 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8504382 + ... + 9612834.

It is an arithmetic number, because the mean of its divisors is an integer number (194111356026).

Almost surely, 2^{10041041213424} 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 10041041213424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15528908482080).

10041041213424 is an abundant number, since it is smaller than the sum of its proper divisors (21016775750736).

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

10041041213424 is a wasteful number, since it uses less digits than its factorization.

10041041213424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110096 (or 1110084 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10041041213424 its reverse (42431214014001), we get a palindrome (52472255227425).

The spelling of 10041041213424 in words is "ten trillion, forty-one billion, forty-one million, two hundred thirteen thousand, four hundred twenty-four".