281445120000 has 720 divisors, whose sum is σ = 1108596729240. Its totient is φ = 68198400000.

The previous prime is 281445119987. The next prime is 281445120013. The reversal of 281445120000 is 21544182.

281445120000 is a `hidden beast` number, since 2 + 8 + 1 + 4 + 451 + 200 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (281445119987) and next prime (281445120013).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×281445120000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 126718890 + ... + 126721110.

Almost surely, 2^281445120000 is an apocalyptic number.

281445120000 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 281445120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554298364620).

281445120000 is an abundant number, since it is smaller than the sum of its proper divisors (827151609240).

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

281445120000 is a wasteful number, since it uses less digits than its factorization.

281445120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 281445120000 its reverse (21544182), we get a palindrome (281466664182).

The spelling of 281445120000 in words is "two hundred eighty-one billion, four hundred forty-five million, one hundred twenty thousand".