448666943442000 has 640 divisors, whose sum is σ = 1473083136645120. Its totient is φ = 117464555520000.

The previous prime is 448666943441989. The next prime is 448666943442061. The reversal of 448666943442000 is 244349666844.

It is a super-2 number, since 2×448666943442000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 88302879460 + ... + 88302884540.

It is an arithmetic number, because the mean of its divisors is an integer number (2301692401008).

Almost surely, 2^{448666943442000} is an apocalyptic number.

448666943442000 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 448666943442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736541568322560).

448666943442000 is an abundant number, since it is smaller than the sum of its proper divisors (1024416193203120).

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

448666943442000 is a wasteful number, since it uses less digits than its factorization.

448666943442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6200 (or 6184 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 60.

The spelling of 448666943442000 in words is "four hundred forty-eight trillion, six hundred sixty-six billion, nine hundred forty-three million, four hundred forty-two thousand".