281479984284240 has 1280 divisors, whose sum is σ = 1212658384896000. Its totient is φ = 58561245112320.

The previous prime is 281479984284223. The next prime is 281479984284277. The reversal of 281479984284240 is 42482489974182.

281479984284240 is a `hidden beast` number, since 2 + 8 + 1 + 4 + 79 + 98 + 42 + 8 + 424 + 0 = 666.

It is a super-2 number, since 2×281479984284240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1237775827 + ... + 1238003213.

It is an arithmetic number, because the mean of its divisors is an integer number (947389363200).

Almost surely, 2^{281479984284240} is an apocalyptic number.

281479984284240 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 281479984284240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606329192448000).

281479984284240 is an abundant number, since it is smaller than the sum of its proper divisors (931178400611760).

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

281479984284240 is a wasteful number, since it uses less digits than its factorization.

281479984284240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227605 (or 227593 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 72.

The spelling of 281479984284240 in words is "two hundred eighty-one trillion, four hundred seventy-nine billion, nine hundred eighty-four million, two hundred eighty-four thousand, two hundred forty".