4334445969408 has 960 divisors, whose sum is σ = 14117596416000. Its totient is φ = 1309628694528.

The previous prime is 4334445969377. The next prime is 4334445969421. The reversal of 4334445969408 is 8049695444334.

4334445969408 is a `hidden beast` number, since 4 + 3 + 34 + 4 + 4 + 596 + 9 + 4 + 0 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24214781863 + ... + 24214782041.

It is an arithmetic number, because the mean of its divisors is an integer number (14705829600).

Almost surely, 2^{4334445969408} is an apocalyptic number.

4334445969408 is a gapful number since it is divisible by the number (48) 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 4334445969408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7058798208000).

4334445969408 is an abundant number, since it is smaller than the sum of its proper divisors (9783150446592).

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

4334445969408 is a wasteful number, since it uses less digits than its factorization.

4334445969408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 63.

The spelling of 4334445969408 in words is "four trillion, three hundred thirty-four billion, four hundred forty-five million, nine hundred sixty-nine thousand, four hundred eight".