281942638348800 has 2880 divisors, whose sum is σ = 1121898475044864. Its totient is φ = 61864633958400.

The previous prime is 281942638348799. The next prime is 281942638348823. The reversal of 281942638348800 is 8843836249182.

It is a super-2 number, since 2×281942638348800² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 287 ways as a sum of consecutive naturals, for example, 1242038054287 + ... + 1242038054513.

Almost surely, 2^{281942638348800} is an apocalyptic number.

281942638348800 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 281942638348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560949237522432).

281942638348800 is an abundant number, since it is smaller than the sum of its proper divisors (839955836696064).

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

281942638348800 is a wasteful number, since it uses less digits than its factorization.

281942638348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 66.

The spelling of 281942638348800 in words is "two hundred eighty-one trillion, nine hundred forty-two billion, six hundred thirty-eight million, three hundred forty-eight thousand, eight hundred".