448017039360 has 1344 divisors, whose sum is σ = 1829137423680. Its totient is φ = 105106636800.

The previous prime is 448017039343. The next prime is 448017039397. The reversal of 448017039360 is 63930710844.

448017039360 is a `hidden beast` number, since 44 + 80 + 170 + 3 + 9 + 360 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 14452162545 + ... + 14452162575.

It is an arithmetic number, because the mean of its divisors is an integer number (1360965345).

Almost surely, 2^448017039360 is an apocalyptic number.

448017039360 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 448017039360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914568711840).

448017039360 is an abundant number, since it is smaller than the sum of its proper divisors (1381120384320).

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

448017039360 is an frugal number, since it uses more digits than its factorization.

448017039360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 448017039360 in words is "four hundred forty-eight billion, seventeen million, thirty-nine thousand, three hundred sixty".