202412411280 has 480 divisors, whose sum is σ = 727803105120. Its totient is φ = 50319360000.

The previous prime is 202412411273. The next prime is 202412411281. The reversal of 202412411280 is 82114214202.

202412411280 is a `hidden beast` number, since 2 + 0 + 241 + 2 + 411 + 2 + 8 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 25518145536 + 176894265744 = 159744^2 + 420588^2 .

It is not an unprimeable number, because it can be changed into a prime (202412411281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86462910 + ... + 86465250.

It is an arithmetic number, because the mean of its divisors is an integer number (1516256469).

Almost surely, 2^202412411280 is an apocalyptic number.

202412411280 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 202412411280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363901552560).

202412411280 is an abundant number, since it is smaller than the sum of its proper divisors (525390693840).

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

202412411280 is a wasteful number, since it uses less digits than its factorization.

202412411280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 202412411280 its reverse (82114214202), we get a palindrome (284526625482).

The spelling of 202412411280 in words is "two hundred two billion, four hundred twelve million, four hundred eleven thousand, two hundred eighty".