448122367440000 has 7680 divisors, whose sum is σ = 2050522822656000. Its totient is φ = 95800320000000.

The previous prime is 448122367439993. The next prime is 448122367440017. The reversal of 448122367440000 is 44763221844.

448122367440000 is a `hidden beast` number, since 4 + 4 + 8 + 1 + 2 + 236 + 7 + 4 + 400 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 6311582639965 + ... + 6311582640035.

It is an arithmetic number, because the mean of its divisors is an integer number (266995159200).

Almost surely, 2^{448122367440000} is an apocalyptic number.

448122367440000 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 448122367440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025261411328000).

448122367440000 is an abundant number, since it is smaller than the sum of its proper divisors (1602400455216000).

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

448122367440000 is a wasteful number, since it uses less digits than its factorization.

448122367440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 448122367440000 in words is "four hundred forty-eight trillion, one hundred twenty-two billion, three hundred sixty-seven million, four hundred forty thousand".