448310041872 has 240 divisors, whose sum is σ = 1474505125632. Its totient is φ = 116062813440.

The previous prime is 448310041867. The next prime is 448310041901. The reversal of 448310041872 is 278140013844.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7914483 + ... + 7970925.

Almost surely, 2^448310041872 is an apocalyptic number.

448310041872 is a gapful number since it is divisible by the number (42) 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 448310041872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737252562816).

448310041872 is an abundant number, since it is smaller than the sum of its proper divisors (1026195083760).

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

448310041872 is a wasteful number, since it uses less digits than its factorization.

448310041872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56786 (or 56773 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 448310041872 in words is "four hundred forty-eight billion, three hundred ten million, forty-one thousand, eight hundred seventy-two".