16332240400 has 240 divisors, whose sum is σ = 47379606400. Its totient is φ = 5285191680.

The previous prime is 16332240389. The next prime is 16332240401. The reversal of 16332240400 is 404223361.

16332240400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (16332240401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 23035246 + ... + 23035954.

Almost surely, 2^16332240400 is an apocalyptic number.

16332240400 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 16332240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23689803200).

16332240400 is an abundant number, since it is smaller than the sum of its proper divisors (31047366000).

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

16332240400 is a wasteful number, since it uses less digits than its factorization.

16332240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 16332240400 its reverse (404223361), we get a palindrome (16736463761).

The spelling of 16332240400 in words is "sixteen billion, three hundred thirty-two million, two hundred forty thousand, four hundred".