4450949496000 has 1008 divisors, whose sum is σ = 19119193696512. Its totient is φ = 984517632000.

The previous prime is 4450949495989. The next prime is 4450949496089. The reversal of 4450949496000 is 6949490544.

It is a happy number.

4450949496000 is a `hidden beast` number, since 4 + 4 + 509 + 49 + 4 + 96 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 109347652 + ... + 109388348.

It is an arithmetic number, because the mean of its divisors is an integer number (18967454064).

Almost surely, 2^{4450949496000} is an apocalyptic number.

4450949496000 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 4450949496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9559596848256).

4450949496000 is an abundant number, since it is smaller than the sum of its proper divisors (14668244200512).

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

4450949496000 is a wasteful number, since it uses less digits than its factorization.

4450949496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40775 (or 40745 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 4450949496000 in words is "four trillion, four hundred fifty billion, nine hundred forty-nine million, four hundred ninety-six thousand".