41441280048 has 160 divisors (see below), whose sum is σ = 139261086720. Its totient is φ = 11551541760.

The previous prime is 41441280029. The next prime is 41441280091. The reversal of 41441280048 is 84008214414.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41441279994 and 41441280021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43140 + ... + 291107.

It is an arithmetic number, because the mean of its divisors is an integer number (870381792).

Almost surely, 2^41441280048 is an apocalyptic number.

41441280048 is a gapful number since it is divisible by the number (48) 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 41441280048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69630543360).

41441280048 is an abundant number, since it is smaller than the sum of its proper divisors (97819806672).

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

41441280048 is a wasteful number, since it uses less digits than its factorization.

41441280048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334312 (or 334300 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

It can be divided in two parts, 41441 and 280048, that added together give a square (321489 = 567²).

The spelling of 41441280048 in words is "forty-one billion, four hundred forty-one million, two hundred eighty thousand, forty-eight".