10240644540200 has 384 divisors, whose sum is σ = 25411400352000. Its totient is φ = 3832249344000.

The previous prime is 10240644540167. The next prime is 10240644540241. The reversal of 10240644540200 is 204544604201.

10240644540200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10240644540200³ (a number of 40 digits) contains 333 as substring.

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, 5370027647 + ... + 5370029553.

It is an arithmetic number, because the mean of its divisors is an integer number (66175521750).

Almost surely, 2^{10240644540200} is an apocalyptic number.

10240644540200 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 10240644540200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12705700176000).

10240644540200 is an abundant number, since it is smaller than the sum of its proper divisors (15170755811800).

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

10240644540200 is a wasteful number, since it uses less digits than its factorization.

10240644540200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The spelling of 10240644540200 in words is "ten trillion, two hundred forty billion, six hundred forty-four million, five hundred forty thousand, two hundred".