16442071731300 has 144 divisors (see below), whose sum is σ = 47620038497472. Its totient is φ = 4380163468800.

The previous prime is 16442071731229. The next prime is 16442071731307. The reversal of 16442071731300 is 313717024461.

It is a super-3 number, since 3×16442071731300³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (16442071731307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2477331582 + ... + 2477338218.

It is an arithmetic number, because the mean of its divisors is an integer number (330694711788).

Almost surely, 2^{16442071731300} is an apocalyptic number.

16442071731300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16442071731300 is an abundant number, since it is smaller than the sum of its proper divisors (31177966766172).

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

16442071731300 is a wasteful number, since it uses less digits than its factorization.

16442071731300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13678 (or 13671 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

Adding to 16442071731300 its reverse (313717024461), we get a palindrome (16755788755761).

The spelling of 16442071731300 in words is "sixteen trillion, four hundred forty-two billion, seventy-one million, seven hundred thirty-one thousand, three hundred".