4349939086080 has 2880 divisors, whose sum is σ = 19488339763200. Its totient is φ = 905191096320.

The previous prime is 4349939086079. The next prime is 4349939086121. The reversal of 4349939086080 is 806809399434.

4349939086080 is a `hidden beast` number, since 4 + 3 + 4 + 99 + 390 + 86 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 4349939085999 and 4349939086017.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 38495036104 + ... + 38495036216.

It is an arithmetic number, because the mean of its divisors is an integer number (6766784640).

Almost surely, 2^{4349939086080} is an apocalyptic number.

4349939086080 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 4349939086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9744169881600).

4349939086080 is an abundant number, since it is smaller than the sum of its proper divisors (15138400677120).

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

4349939086080 is a wasteful number, since it uses less digits than its factorization.

4349939086080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 4349939086080 in words is "four trillion, three hundred forty-nine billion, nine hundred thirty-nine million, eighty-six thousand, eighty".