4481001233280 has 3840 divisors, whose sum is σ = 21124742950080. Its totient is φ = 888628838400.

The previous prime is 4481001233251. The next prime is 4481001233299. The reversal of 4481001233280 is 823321001844.

It is a happy number.

4481001233280 is a `hidden beast` number, since 4 + 48 + 100 + 1 + 233 + 280 = 666.

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

It is a congruent number.

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 479 ways as a sum of consecutive naturals, for example, 121108141422 + ... + 121108141458.

Almost surely, 2^{4481001233280} is an apocalyptic number.

4481001233280 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 4481001233280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10562371475040).

4481001233280 is an abundant number, since it is smaller than the sum of its proper divisors (16643741716800).

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

4481001233280 is a wasteful number, since it uses less digits than its factorization.

4481001233280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 4481001233280 in words is "four trillion, four hundred eighty-one billion, one million, two hundred thirty-three thousand, two hundred eighty".