16271101440 has 960 divisors, whose sum is σ = 67409971200. Its totient is φ = 3583180800.

The previous prime is 16271101423. The next prime is 16271101481. The reversal of 16271101440 is 4410117261.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149276106 + ... + 149276214.

It is an arithmetic number, because the mean of its divisors is an integer number (70218720).

Almost surely, 2^16271101440 is an apocalyptic number.

16271101440 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 16271101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33704985600).

16271101440 is an abundant number, since it is smaller than the sum of its proper divisors (51138869760).

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

16271101440 is a wasteful number, since it uses less digits than its factorization.

16271101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

It can be divided in two parts, 16271 and 101440, that added together give a palindrome (117711).

The spelling of 16271101440 in words is "sixteen billion, two hundred seventy-one million, one hundred one thousand, four hundred forty".