3442442113440 has 288 divisors, whose sum is σ = 12990829190976. Its totient is φ = 823099207680.

The previous prime is 3442442113433. The next prime is 3442442113471. The reversal of 3442442113440 is 443112442443.

3442442113440 is a `hidden beast` number, since 3 + 4 + 42 + 442 + 1 + 134 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3442442113395 and 3442442113404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332214 + ... + 2644853.

It is an arithmetic number, because the mean of its divisors is an integer number (45107045802).

Almost surely, 2^{3442442113440} is an apocalyptic number.

3442442113440 is a gapful number since it is divisible by the number (30) 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 3442442113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6495414595488).

3442442113440 is an abundant number, since it is smaller than the sum of its proper divisors (9548387077536).

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

3442442113440 is a wasteful number, since it uses less digits than its factorization.

3442442113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977172 (or 2977161 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 3442442113440 its reverse (443112442443), we get a palindrome (3885554555883).

The spelling of 3442442113440 in words is "three trillion, four hundred forty-two billion, four hundred forty-two million, one hundred thirteen thousand, four hundred forty".