4430120586696 has 256 divisors, whose sum is σ = 14678525030400. Its totient is φ = 1210454074368.

The previous prime is 4430120586691. The next prime is 4430120586721. The reversal of 4430120586696 is 6966850210344.

4430120586696 is a `hidden beast` number, since 4 + 4 + 30 + 1 + 20 + 586 + 6 + 9 + 6 = 666.

It is a super-2 number, since 2×4430120586696² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4430120586691) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 204019936 + ... + 204041648.

It is an arithmetic number, because the mean of its divisors is an integer number (57337988400).

Almost surely, 2^{4430120586696} is an apocalyptic number.

4430120586696 is a gapful number since it is divisible by the number (46) 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 4430120586696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7339262515200).

4430120586696 is an abundant number, since it is smaller than the sum of its proper divisors (10248404443704).

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

4430120586696 is a wasteful number, since it uses less digits than its factorization.

4430120586696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27625 (or 27615 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 4430120586696 in words is "four trillion, four hundred thirty billion, one hundred twenty million, five hundred eighty-six thousand, six hundred ninety-six".