4105350144000 has 1008 divisors, whose sum is σ = 17218513864656. Its totient is φ = 938262528000.

The previous prime is 4105350143981. The next prime is 4105350144019. The reversal of 4105350144000 is 4410535014.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4105350143981) and next prime (4105350144019).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 451579455 + ... + 451588545.

Almost surely, 2^{4105350144000} is an apocalyptic number.

4105350144000 is a gapful number since it is divisible by the number (40) 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 4105350144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8609256932328).

4105350144000 is an abundant number, since it is smaller than the sum of its proper divisors (13113163720656).

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

4105350144000 is an equidigital number, since it uses as much as digits as its factorization.

4105350144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9152 (or 9108 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 4105350144000 its reverse (4410535014), we get a palindrome (4109760679014).

The spelling of 4105350144000 in words is "four trillion, one hundred five billion, three hundred fifty million, one hundred forty-four thousand".