1041442413000 has 512 divisors, whose sum is σ = 3678568058880. Its totient is φ = 243102720000.

The previous prime is 1041442412977. The next prime is 1041442413007. The reversal of 1041442413000 is 3142441401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1041442413007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100743832 + ... + 100754168.

It is an arithmetic number, because the mean of its divisors is an integer number (7184703240).

Almost surely, 2^{1041442413000} is an apocalyptic number.

1041442413000 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 1041442413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839284029440).

1041442413000 is an abundant number, since it is smaller than the sum of its proper divisors (2637125645880).

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

1041442413000 is a wasteful number, since it uses less digits than its factorization.

1041442413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10486 (or 10472 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1041442413000 its reverse (3142441401), we get a palindrome (1044584854401).

The spelling of 1041442413000 in words is "one trillion, forty-one billion, four hundred forty-two million, four hundred thirteen thousand".