16409142672400 has 135 divisors (see below), whose sum is σ = 40033392797181. Its totient is φ = 6463553205120.

The previous prime is 16409142672367. The next prime is 16409142672407. The reversal of 16409142672400 is 427624190461.

The square root of 16409142672400 is 4050820.

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

16409142672400 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 only one way, i.e., 5907291362064 + 10501851310336 = 2430492^2 + 3240656^2 .

It is a super-2 number, since 2×16409142672400² (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 (16409142672407) 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, 5428097289 + ... + 5428100311.

Almost surely, 2^{16409142672400} is an apocalyptic number.

16409142672400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16409142672400 is the 4050820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16409142672400

16409142672400 is an abundant number, since it is smaller than the sum of its proper divisors (23624250124781).

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

16409142672400 is an frugal number, since it uses more digits than its factorization.

16409142672400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6198 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 16409142672400 in words is "sixteen trillion, four hundred nine billion, one hundred forty-two million, six hundred seventy-two thousand, four hundred".