16412869638400 has 243 divisors, whose sum is σ = 41158333969081. Its totient is φ = 6479973744640.

The previous prime is 16412869638397. The next prime is 16412869638409. The reversal of 16412869638400 is 483696821461.

The square root of 16412869638400 is 4051280.

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

16412869638400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 16362089720064 + 50779918336 = 4045008^2 + 225344^2 .

It is a super-2 number, since 2×16412869638400² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16412869638409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28845113316 + ... + 28845113884.

Almost surely, 2^{16412869638400} is an apocalyptic number.

16412869638400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16412869638400 is the 4051280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16412869638400

16412869638400 is an abundant number, since it is smaller than the sum of its proper divisors (24745464330681).

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

16412869638400 is an frugal number, since it uses more digits than its factorization.

16412869638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 58.

The spelling of 16412869638400 in words is "sixteen trillion, four hundred twelve billion, eight hundred sixty-nine million, six hundred thirty-eight thousand, four hundred".