16442341625640 has 768 divisors, whose sum is σ = 58712484579840. Its totient is φ = 3672345600000.

The previous prime is 16442341625623. The next prime is 16442341625659. The reversal of 16442341625640 is 4652614324461.

It is a super-3 number, since 3×16442341625640³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16442341625640.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16231333774 + ... + 16231334786.

It is an arithmetic number, because the mean of its divisors is an integer number (76448547630).

Almost surely, 2^{16442341625640} is an apocalyptic number.

16442341625640 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 16442341625640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29356242289920).

16442341625640 is an abundant number, since it is smaller than the sum of its proper divisors (42270142954200).

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

16442341625640 is a wasteful number, since it uses less digits than its factorization.

16442341625640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 16442341625640 in words is "sixteen trillion, four hundred forty-two billion, three hundred forty-one million, six hundred twenty-five thousand, six hundred forty".