10041034411200 has 504 divisors, whose sum is σ = 35820676893936. Its totient is φ = 2461335552000.

The previous prime is 10041034411193. The next prime is 10041034411201. The reversal of 10041034411200 is 211443014001.

It is not an unprimeable number, because it can be changed into a prime (10041034411201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 195473520 + ... + 195524880.

Almost surely, 2^{10041034411200} is an apocalyptic number.

10041034411200 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 10041034411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17910338446968).

10041034411200 is an abundant number, since it is smaller than the sum of its proper divisors (25779642482736).

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

10041034411200 is a wasteful number, since it uses less digits than its factorization.

10041034411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51653 (or 51625 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10041034411200 its reverse (211443014001), we get a palindrome (10252477425201).

The spelling of 10041034411200 in words is "ten trillion, forty-one billion, thirty-four million, four hundred eleven thousand, two hundred".