448026369280 has 288 divisors, whose sum is σ = 1282127616000. Its totient is φ = 146662957056.

The previous prime is 448026369233. The next prime is 448026369281. The reversal of 448026369280 is 82963620844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448026369281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135805071 + ... + 135808369.

It is an arithmetic number, because the mean of its divisors is an integer number (4451832000).

Almost surely, 2^448026369280 is an apocalyptic number.

448026369280 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 448026369280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641063808000).

448026369280 is an abundant number, since it is smaller than the sum of its proper divisors (834101246720).

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

448026369280 is a wasteful number, since it uses less digits than its factorization.

448026369280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4009 (or 3995 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 52.

The spelling of 448026369280 in words is "four hundred forty-eight billion, twenty-six million, three hundred sixty-nine thousand, two hundred eighty".