448119912240 has 1440 divisors, whose sum is σ = 2091124159488. Its totient is φ = 83051827200.

The previous prime is 448119912239. The next prime is 448119912277. The reversal of 448119912240 is 42219911844.

448119912240 is a `hidden beast` number, since 4 + 481 + 1 + 9 + 9 + 122 + 40 = 666.

It is a super-2 number, since 2×448119912240² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 692611597 + ... + 692612243.

Almost surely, 2^448119912240 is an apocalyptic number.

448119912240 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 448119912240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045562079744).

448119912240 is an abundant number, since it is smaller than the sum of its proper divisors (1643004247248).

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

448119912240 is a wasteful number, since it uses less digits than its factorization.

448119912240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 448119912240 in words is "four hundred forty-eight billion, one hundred nineteen million, nine hundred twelve thousand, two hundred forty".