1041001413200 has 180 divisors, whose sum is σ = 2930271513120. Its totient is φ = 354346110720.

The previous prime is 1041001413077. The next prime is 1041001413203. The reversal of 1041001413200 is 23141001401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041001413203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2533349 + ... + 2915451.

It is an arithmetic number, because the mean of its divisors is an integer number (16279286184).

Almost surely, 2^{1041001413200} is an apocalyptic number.

1041001413200 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 1041001413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465135756560).

1041001413200 is an abundant number, since it is smaller than the sum of its proper divisors (1889270099920).

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

1041001413200 is a wasteful number, since it uses less digits than its factorization.

1041001413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382274 (or 382256 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1041001413200 its reverse (23141001401), we get a palindrome (1064142414601).

The spelling of 1041001413200 in words is "one trillion, forty-one billion, one million, four hundred thirteen thousand, two hundred".