448274921714640 has 640 divisors, whose sum is σ = 1596227349196800. Its totient is φ = 115546107156480.

The previous prime is 448274921714549. The next prime is 448274921714681. The reversal of 448274921714640 is 46417129472844.

448274921714640 is a `hidden beast` number, since 4 + 4 + 8 + 2 + 74 + 92 + 17 + 1 + 464 + 0 = 666.

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, 7486316221 + ... + 7486376099.

It is an arithmetic number, because the mean of its divisors is an integer number (2494105233120).

Almost surely, 2^{448274921714640} is an apocalyptic number.

448274921714640 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 448274921714640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798113674598400).

448274921714640 is an abundant number, since it is smaller than the sum of its proper divisors (1147952427482160).

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

448274921714640 is a wasteful number, since it uses less digits than its factorization.

448274921714640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60552 (or 60540 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 448274921714640 in words is "four hundred forty-eight trillion, two hundred seventy-four billion, nine hundred twenty-one million, seven hundred fourteen thousand, six hundred forty".