10224684771840 has 3240 divisors, whose sum is σ = 47419546634460. Its totient is φ = 2028298567680.

The previous prime is 10224684771787. The next prime is 10224684771871. The reversal of 10224684771840 is 4817748642201.

It is a happy number.

10224684771840 is a `hidden beast` number, since 10 + 2 + 24 + 68 + 477 + 1 + 84 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3004758763776 + 7219926008064 = 1733424^2 + 2686992^2 .

It is a congruent number.

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 323 ways as a sum of consecutive naturals, for example, 114884098516 + ... + 114884098604.

Almost surely, 2^{10224684771840} is an apocalyptic number.

10224684771840 is a gapful number since it is divisible by the number (10) 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 10224684771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23709773317230).

10224684771840 is an abundant number, since it is smaller than the sum of its proper divisors (37194861862620).

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

10224684771840 is a wasteful number, since it uses less digits than its factorization.

10224684771840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 10224684771840 in words is "ten trillion, two hundred twenty-four billion, six hundred eighty-four million, seven hundred seventy-one thousand, eight hundred forty".