1441334414000 has 480 divisors, whose sum is σ = 4012889587200. Its totient is φ = 499051238400.

The previous prime is 1441334413991. The next prime is 1441334414081. The reversal of 1441334414000 is 4144331441.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 661464911 + ... + 661467089.

It is an arithmetic number, because the mean of its divisors is an integer number (8360186640).

Almost surely, 2^{1441334414000} is an apocalyptic number.

1441334414000 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 1441334414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006444793600).

1441334414000 is an abundant number, since it is smaller than the sum of its proper divisors (2571555173200).

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

1441334414000 is a wasteful number, since it uses less digits than its factorization.

1441334414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 1441334414000 its reverse (4144331441), we get a palindrome (1445478745441).

The spelling of 1441334414000 in words is "one trillion, four hundred forty-one billion, three hundred thirty-four million, four hundred fourteen thousand".