16000204742400 has 648 divisors, whose sum is σ = 53942482116432. Its totient is φ = 4176592896000.

The previous prime is 16000204742363. The next prime is 16000204742441. The reversal of 16000204742400 is 424740200061.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20075538802 + ... + 20075539598.

Almost surely, 2^{16000204742400} is an apocalyptic number.

16000204742400 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 16000204742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26971241058216).

16000204742400 is an abundant number, since it is smaller than the sum of its proper divisors (37942277374032).

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

16000204742400 is an equidigital number, since it uses as much as digits as its factorization.

16000204742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

Adding to 16000204742400 its reverse (424740200061), we get a palindrome (16424944942461).

The spelling of 16000204742400 in words is "sixteen trillion, two hundred four million, seven hundred forty-two thousand, four hundred".