4097344419840 has 768 divisors, whose sum is σ = 15757306306560. Its totient is φ = 889147883520.

The previous prime is 4097344419829. The next prime is 4097344419859. The reversal of 4097344419840 is 489144437904.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 353304922 + ... + 353316518.

It is an arithmetic number, because the mean of its divisors is an integer number (20517325920).

Almost surely, 2^{4097344419840} is an apocalyptic number.

4097344419840 is a gapful number since it is divisible by the number (40) 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 4097344419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7878653153280).

4097344419840 is an abundant number, since it is smaller than the sum of its proper divisors (11659961886720).

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

4097344419840 is a wasteful number, since it uses less digits than its factorization.

4097344419840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11718 (or 11698 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 4097344419840 in words is "four trillion, ninety-seven billion, three hundred forty-four million, four hundred nineteen thousand, eight hundred forty".