16442040000 has 280 divisors, whose sum is σ = 54733767088. Its totient is φ = 4354560000.

The previous prime is 16442039953. The next prime is 16442040019. The reversal of 16442040000 is 4024461.

It is a super-3 number, since 3×16442040000³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21719622 + ... + 21720378.

Almost surely, 2^16442040000 is an apocalyptic number.

16442040000 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 16442040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27366883544).

16442040000 is an abundant number, since it is smaller than the sum of its proper divisors (38291727088).

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

16442040000 is an equidigital number, since it uses as much as digits as its factorization.

16442040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 16442040000 its reverse (4024461), we get a palindrome (16446064461).

The spelling of 16442040000 in words is "sixteen billion, four hundred forty-two million, forty thousand".