1041105954816 has 480 divisors, whose sum is σ = 3224887585920. Its totient is φ = 334414282752.

The previous prime is 1041105954787. The next prime is 1041105954853. The reversal of 1041105954816 is 6184595011401.

1041105954816 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 1 + 0 + 595 + 48 + 16 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 522380316 + ... + 522382308.

It is an arithmetic number, because the mean of its divisors is an integer number (6718515804).

Almost surely, 2^{1041105954816} is an apocalyptic number.

1041105954816 is a gapful number since it is divisible by the number (16) 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 1041105954816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612443792960).

1041105954816 is an abundant number, since it is smaller than the sum of its proper divisors (2183781631104).

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

1041105954816 is an equidigital number, since it uses as much as digits as its factorization.

1041105954816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 1041105954816 in words is "one trillion, forty-one billion, one hundred five million, nine hundred fifty-four thousand, eight hundred sixteen".