448430955840 has 2688 divisors, whose sum is σ = 2108884377600. Its totient is φ = 90128941056.

The previous prime is 448430955821. The next prime is 448430955859. The reversal of 448430955840 is 48559034844.

448430955840 is a `hidden beast` number, since 4 + 4 + 8 + 43 + 0 + 9 + 558 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (448430955821) and next prime (448430955859).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 10428626859 + ... + 10428626901.

It is an arithmetic number, because the mean of its divisors is an integer number (784555200).

Almost surely, 2^448430955840 is an apocalyptic number.

448430955840 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 448430955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054442188800).

448430955840 is an abundant number, since it is smaller than the sum of its proper divisors (1660453421760).

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

448430955840 is a wasteful number, since it uses less digits than its factorization.

448430955840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 448430955840 in words is "four hundred forty-eight billion, four hundred thirty million, nine hundred fifty-five thousand, eight hundred forty".