10240633609800 has 192 divisors, whose sum is σ = 34635445689600. Its totient is φ = 2482328044800.

The previous prime is 10240633609777. The next prime is 10240633609813. The reversal of 10240633609800 is 890633604201.

It is a Cunningham number, because it is equal to 3200099²-1.

It is a super-3 number, since 3×10240633609800³ (a number of 40 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 70329471 + ... + 70474929.

It is an arithmetic number, because the mean of its divisors is an integer number (180392946300).

Almost surely, 2^{10240633609800} is an apocalyptic number.

10240633609800 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 10240633609800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17317722844800).

10240633609800 is an abundant number, since it is smaller than the sum of its proper divisors (24394812079800).

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

10240633609800 is a wasteful number, since it uses less digits than its factorization.

10240633609800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156156 (or 156147 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 10240633609800 in words is "ten trillion, two hundred forty billion, six hundred thirty-three million, six hundred nine thousand, eight hundred".