16400388096 has 351 divisors, whose sum is σ = 51288921229. Its totient is φ = 5048795136.

The previous prime is 16400388091. The next prime is 16400388127. The reversal of 16400388096 is 69088300461.

The square root of 16400388096 is 128064.

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

It can be written as a sum of positive squares in only one way, i.e., 8599965696 + 7800422400 = 92736^2 + 88320^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16400388091) 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, 565530610 + ... + 565530638.

Almost surely, 2^16400388096 is an apocalyptic number.

16400388096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16400388096 is the 128064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16400388096

16400388096 is an abundant number, since it is smaller than the sum of its proper divisors (34888533133).

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

16400388096 is an equidigital number, since it uses as much as digits as its factorization.

16400388096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

It can be divided in two parts, 16400 and 388096, that added together give a square (404496 = 636²).

The spelling of 16400388096 in words is "sixteen billion, four hundred million, three hundred eighty-eight thousand, ninety-six".