4448947680000 has 900 divisors, whose sum is σ = 16752770616120. Its totient is φ = 1173823488000.

The previous prime is 4448947679989. The next prime is 4448947680011. The reversal of 4448947680000 is 867498444.

4448947680000 is a `hidden beast` number, since 44 + 489 + 47 + 6 + 80 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4448947679989) and next prime (4448947680011).

It is a tau number, because it is divible by the number of its divisors (900).

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

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1257118231 + ... + 1257121769.

Almost surely, 2^{4448947680000} is an apocalyptic number.

4448947680000 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 4448947680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8376385308060).

4448947680000 is an abundant number, since it is smaller than the sum of its proper divisors (12303822936120).

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

4448947680000 is an frugal number, since it uses more digits than its factorization.

4448947680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3684 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 4448947680000 in words is "four trillion, four hundred forty-eight billion, nine hundred forty-seven million, six hundred eighty thousand".