16941291360400 has 405 divisors, whose sum is σ = 45727538016097. Its totient is φ = 6027111833600.

The previous prime is 16941291360373. The next prime is 16941291360407. The reversal of 16941291360400 is 406319214961.

The square root of 16941291360400 is 4115980.

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

It can be written as a sum of positive squares in 13 ways, for example, as 8595756149904 + 8345535210496 = 2931852^2 + 2888864^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16941291360407) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 47992326624 + ... + 47992326976.

Almost surely, 2^{16941291360400} is an apocalyptic number.

16941291360400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16941291360400 is the 4115980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16941291360400

16941291360400 is an abundant number, since it is smaller than the sum of its proper divisors (28786246655697).

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

16941291360400 is an equidigital number, since it uses as much as digits as its factorization.

16941291360400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The spelling of 16941291360400 in words is "sixteen trillion, nine hundred forty-one billion, two hundred ninety-one million, three hundred sixty thousand, four hundred".