10240644602232 has 256 divisors, whose sum is σ = 31220493811200. Its totient is φ = 3084447421440.

The previous prime is 10240644602197. The next prime is 10240644602239. The reversal of 10240644602232 is 23220644604201.

10240644602232 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 0 + 6 + 44 + 602 + 2 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10240644602239) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 332764798 + ... + 332795570.

It is an arithmetic number, because the mean of its divisors is an integer number (121955053950).

Almost surely, 2^{10240644602232} is an apocalyptic number.

10240644602232 is a gapful number since it is divisible by the number (12) 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 10240644602232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15610246905600).

10240644602232 is an abundant number, since it is smaller than the sum of its proper divisors (20979849208968).

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

10240644602232 is a wasteful number, since it uses less digits than its factorization.

10240644602232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31643 (or 31633 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 10240644602232 in words is "ten trillion, two hundred forty billion, six hundred forty-four million, six hundred two thousand, two hundred thirty-two".