16181402813440 has 176 divisors, whose sum is σ = 42516960490800. Its totient is φ = 5881758482432.

The previous prime is 16181402813437. The next prime is 16181402813461. The reversal of 16181402813440 is 4431820418161.

It can be written as a sum of positive squares in 8 ways, for example, as 577259570176 + 15604143243264 = 759776^2 + 3950208^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 681145 + ... + 5729464.

Almost surely, 2^{16181402813440} is an apocalyptic number.

16181402813440 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 16181402813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21258480245400).

16181402813440 is an abundant number, since it is smaller than the sum of its proper divisors (26335557677360).

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

16181402813440 is a wasteful number, since it uses less digits than its factorization.

16181402813440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6410680 (or 6410662 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The spelling of 16181402813440 in words is "sixteen trillion, one hundred eighty-one billion, four hundred two million, eight hundred thirteen thousand, four hundred forty".