4490275245984 has 960 divisors, whose sum is σ = 15125154105600. Its totient is φ = 1294782382080.

The previous prime is 4490275245979. The next prime is 4490275245991. The reversal of 4490275245984 is 4895425720944.

It is a happy number.

4490275245984 is a `hidden beast` number, since 4 + 4 + 9 + 0 + 27 + 524 + 5 + 9 + 84 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15325171342 + ... + 15325171634.

It is an arithmetic number, because the mean of its divisors is an integer number (15755368860).

Almost surely, 2^{4490275245984} is an apocalyptic number.

4490275245984 is a gapful number since it is divisible by the number (44) 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 4490275245984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7562577052800).

4490275245984 is an abundant number, since it is smaller than the sum of its proper divisors (10634878859616).

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

4490275245984 is a wasteful number, since it uses less digits than its factorization.

4490275245984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 4490275245984 in words is "four trillion, four hundred ninety billion, two hundred seventy-five million, two hundred forty-five thousand, nine hundred eighty-four".