448867500998400 has 2160 divisors, whose sum is σ = 1933419953203200. Its totient is φ = 101673750528000.

The previous prime is 448867500998383. The next prime is 448867500998551. The reversal of 448867500998400 is 4899005768844.

448867500998400 is a `hidden beast` number, since 4 + 4 + 8 + 86 + 7 + 50 + 0 + 9 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5126413821 + ... + 5126501379.

Almost surely, 2^{448867500998400} is an apocalyptic number.

448867500998400 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 448867500998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966709976601600).

448867500998400 is an abundant number, since it is smaller than the sum of its proper divisors (1484552452204800).

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

448867500998400 is a wasteful number, since it uses less digits than its factorization.

448867500998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87668 (or 87640 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 448867500998400 in words is "four hundred forty-eight trillion, eight hundred sixty-seven billion, five hundred million, nine hundred ninety-eight thousand, four hundred".