281990400000 has 576 divisors, whose sum is σ = 990414734400. Its totient is φ = 71147520000.

The previous prime is 281990399983. The next prime is 281990400007. The reversal of 281990400000 is 4099182.

It is a super-3 number, since 3×281990400000³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (281990400007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364799614 + ... + 364800386.

It is an arithmetic number, because the mean of its divisors is an integer number (1719470025).

Almost surely, 2^281990400000 is an apocalyptic number.

281990400000 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 281990400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495207367200).

281990400000 is an abundant number, since it is smaller than the sum of its proper divisors (708424334400).

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

281990400000 is an frugal number, since it uses more digits than its factorization.

281990400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

Adding to 281990400000 its reverse (4099182), we get a palindrome (281994499182).

The spelling of 281990400000 in words is "two hundred eighty-one billion, nine hundred ninety million, four hundred thousand".