4289995644480 has 2016 divisors, whose sum is σ = 19410603174144. Its totient is φ = 860346482688.

The previous prime is 4289995644461. The next prime is 4289995644521. The reversal of 4289995644480 is 844465999824.

4289995644480 is a `hidden beast` number, since 4 + 2 + 8 + 9 + 99 + 56 + 4 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4289995644399 and 4289995644408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12363099667 + ... + 12363100013.

It is an arithmetic number, because the mean of its divisors is an integer number (9628275384).

Almost surely, 2^{4289995644480} is an apocalyptic number.

4289995644480 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 4289995644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9705301587072).

4289995644480 is an abundant number, since it is smaller than the sum of its proper divisors (15120607529664).

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

4289995644480 is a wasteful number, since it uses less digits than its factorization.

4289995644480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 4289995644480 in words is "four trillion, two hundred eighty-nine billion, nine hundred ninety-five million, six hundred forty-four thousand, four hundred eighty".