4112664907680 has 288 divisors, whose sum is σ = 16115417555328. Its totient is φ = 935582054400.

The previous prime is 4112664907621. The next prime is 4112664907693. The reversal of 4112664907680 is 867094662114.

4112664907680 is a `hidden beast` number, since 4 + 1 + 1 + 2 + 6 + 6 + 490 + 76 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1160050 + ... + 3093710.

It is an arithmetic number, because the mean of its divisors is an integer number (55956310956).

Almost surely, 2^{4112664907680} is an apocalyptic number.

4112664907680 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 4112664907680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8057708777664).

4112664907680 is an abundant number, since it is smaller than the sum of its proper divisors (12002752647648).

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

4112664907680 is a wasteful number, since it uses less digits than its factorization.

4112664907680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933900 (or 1933889 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 4112664907680 in words is "four trillion, one hundred twelve billion, six hundred sixty-four million, nine hundred seven thousand, six hundred eighty".