281125438080 has 128 divisors (see below), whose sum is σ = 896595912000. Its totient is φ = 74924236800.

The previous prime is 281125438019. The next prime is 281125438103. The reversal of 281125438080 is 80834521182.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3417271 + ... + 3498569.

Almost surely, 2^281125438080 is an apocalyptic number.

281125438080 is a gapful number since it is divisible by the number (20) 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 281125438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448297956000).

281125438080 is an abundant number, since it is smaller than the sum of its proper divisors (615470473920).

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

281125438080 is a wasteful number, since it uses less digits than its factorization.

281125438080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83122 (or 83110 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 281125438080 in words is "two hundred eighty-one billion, one hundred twenty-five million, four hundred thirty-eight thousand, eighty".