282241247649400 has 192 divisors, whose sum is σ = 708770485785600. Its totient is φ = 103905594408960.

The previous prime is 282241247649391. The next prime is 282241247649503. The reversal of 282241247649400 is 4946742142282.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1243552329 + ... + 1243779271.

It is an arithmetic number, because the mean of its divisors is an integer number (3691512946800).

Almost surely, 2^{282241247649400} is an apocalyptic number.

282241247649400 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 282241247649400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354385242892800).

282241247649400 is an abundant number, since it is smaller than the sum of its proper divisors (426529238136200).

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

282241247649400 is a wasteful number, since it uses less digits than its factorization.

282241247649400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228378 (or 228369 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 55.

The spelling of 282241247649400 in words is "two hundred eighty-two trillion, two hundred forty-one billion, two hundred forty-seven million, six hundred forty-nine thousand, four hundred".