213640210412640 has 288 divisors, whose sum is σ = 795346610962176. Its totient is φ = 51790109230080.

The previous prime is 213640210412639. The next prime is 213640210412641. The reversal of 213640210412640 is 46214012046312.

213640210412640 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 4 + 0 + 2 + 1 + 0 + 4 + 1 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (213640210412639) and next prime (213640210412641).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 213640210412595 and 213640210412604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213640210412641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 628725667 + ... + 629065373.

It is an arithmetic number, because the mean of its divisors is an integer number (2761620176952).

Almost surely, 2^{213640210412640} is an apocalyptic number.

213640210412640 is a gapful number since it is divisible by the number (20) 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 213640210412640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397673305481088).

213640210412640 is an abundant number, since it is smaller than the sum of its proper divisors (581706400549536).

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

213640210412640 is a wasteful number, since it uses less digits than its factorization.

213640210412640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379442 (or 379431 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 213640210412640 its reverse (46214012046312), we get a palindrome (259854222458952).

The spelling of 213640210412640 in words is "two hundred thirteen trillion, six hundred forty billion, two hundred ten million, four hundred twelve thousand, six hundred forty".