10240636224 has 672 divisors, whose sum is σ = 36478073856. Its totient is φ = 2508226560.

The previous prime is 10240636199. The next prime is 10240636271. The reversal of 10240636224 is 42263604201.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 10240636191 and 10240636200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140282652 + ... + 140282724.

It is an arithmetic number, because the mean of its divisors is an integer number (54282848).

Almost surely, 2^10240636224 is an apocalyptic number.

10240636224 is a gapful number since it is divisible by the number (14) 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 10240636224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18239036928).

10240636224 is an abundant number, since it is smaller than the sum of its proper divisors (26237437632).

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

10240636224 is a wasteful number, since it uses less digits than its factorization.

10240636224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 10240636224 in words is "ten billion, two hundred forty million, six hundred thirty-six thousand, two hundred twenty-four".