448019388956160 has 3840 divisors, whose sum is σ = 1937706363141120. Its totient is φ = 98982646382592.

The previous prime is 448019388956137. The next prime is 448019388956207. The reversal of 448019388956160 is 61659883910844.

448019388956160 is a `hidden beast` number, since 4 + 4 + 80 + 1 + 9 + 388 + 9 + 5 + 6 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-3 number, since 3×448019388956160³ (a number of 45 digits) contains 333 as substring.

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 383 ways as a sum of consecutive naturals, for example, 1922829995404 + ... + 1922829995636.

It is an arithmetic number, because the mean of its divisors is an integer number (504611032068).

Almost surely, 2^{448019388956160} is an apocalyptic number.

448019388956160 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 448019388956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968853181570560).

448019388956160 is an abundant number, since it is smaller than the sum of its proper divisors (1489686974184960).

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

448019388956160 is an equidigital number, since it uses as much as digits as its factorization.

448019388956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 448019388956160 in words is "four hundred forty-eight trillion, nineteen billion, three hundred eighty-eight million, nine hundred fifty-six thousand, one hundred sixty".