1041334516992 has 576 divisors, whose sum is σ = 3583119310848. Its totient is φ = 260554752000.

The previous prime is 1041334516969. The next prime is 1041334516993. The reversal of 1041334516992 is 2996154331401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041334516993) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 441803878 + ... + 441806234.

It is an arithmetic number, because the mean of its divisors is an integer number (6220693248).

Almost surely, 2^{1041334516992} is an apocalyptic number.

1041334516992 is a gapful number since it is divisible by the number (12) 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 1041334516992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791559655424).

1041334516992 is an abundant number, since it is smaller than the sum of its proper divisors (2541784793856).

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

1041334516992 is a wasteful number, since it uses less digits than its factorization.

1041334516992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 1041334516992 in words is "one trillion, forty-one billion, three hundred thirty-four million, five hundred sixteen thousand, nine hundred ninety-two".