16442791793440 has 192 divisors, whose sum is σ = 39341632176000. Its totient is φ = 6493871554560.

The previous prime is 16442791793399. The next prime is 16442791793489. The reversal of 16442791793440 is 4439719724461.

It is a super-3 number, since 3×16442791793440³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3020903359 + ... + 3020908801.

It is an arithmetic number, because the mean of its divisors is an integer number (204904334250).

Almost surely, 2^{16442791793440} is an apocalyptic number.

16442791793440 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 16442791793440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19670816088000).

16442791793440 is an abundant number, since it is smaller than the sum of its proper divisors (22898840382560).

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

16442791793440 is a wasteful number, since it uses less digits than its factorization.

16442791793440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6355 (or 6347 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 61.

The spelling of 16442791793440 in words is "sixteen trillion, four hundred forty-two billion, seven hundred ninety-one million, seven hundred ninety-three thousand, four hundred forty".