51441040000 has 320 divisors, whose sum is σ = 148018368960. Its totient is φ = 17436672000.

The previous prime is 51441039961. The next prime is 51441040031. The reversal of 51441040000 is 4014415.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 51441040000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54319527 + ... + 54320473.

It is an arithmetic number, because the mean of its divisors is an integer number (462557403).

Almost surely, 2^51441040000 is an apocalyptic number.

51441040000 is a gapful number since it is divisible by the number (50) 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 51441040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74009184480).

51441040000 is an abundant number, since it is smaller than the sum of its proper divisors (96577328960).

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

51441040000 is an frugal number, since it uses more digits than its factorization.

51441040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 51441040000 its reverse (4014415), we get a palindrome (51445054415).

The spelling of 51441040000 in words is "fifty-one billion, four hundred forty-one million, forty thousand".