4105437811344 has 315 divisors, whose sum is σ = 12138812477643. Its totient is φ = 1344481099776.

The previous prime is 4105437811309. The next prime is 4105437811351. The reversal of 4105437811344 is 4431187345014.

The square root of 4105437811344 is 2026188.

It is a perfect power (a square), and thus also a powerful number.

4105437811344 is a `hidden beast` number, since 4 + 1 + 0 + 5 + 437 + 81 + 134 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1819293811344 + 2286144000000 = 1348812^2 + 1512000^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4105437811344.

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 62 ways as a sum of consecutive naturals, for example, 15974466064 + ... + 15974466320.

Almost surely, 2^{4105437811344} is an apocalyptic number.

4105437811344 is the 2026188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4105437811344

4105437811344 is an abundant number, since it is smaller than the sum of its proper divisors (8033374666299).

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

4105437811344 is an frugal number, since it uses more digits than its factorization.

4105437811344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 4105437811344 in words is "four trillion, one hundred five billion, four hundred thirty-seven million, eight hundred eleven thousand, three hundred forty-four".