10213361640 has 96 divisors (see below), whose sum is σ = 33230620800. Its totient is φ = 2720511360.

The previous prime is 10213361633. The next prime is 10213361647. The reversal of 10213361640 is 4616331201.

10213361640 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 3 + 616 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (10213361633) and next prime (10213361647).

It is not an unprimeable number, because it can be changed into a prime (10213361647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315405 + ... + 346275.

It is an arithmetic number, because the mean of its divisors is an integer number (346152300).

Almost surely, 2^10213361640 is an apocalyptic number.

10213361640 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 10213361640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16615310400).

10213361640 is an abundant number, since it is smaller than the sum of its proper divisors (23017259160).

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

10213361640 is a wasteful number, since it uses less digits than its factorization.

10213361640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31807 (or 31800 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 10213361640 its reverse (4616331201), we get a palindrome (14829692841).

The spelling of 10213361640 in words is "ten billion, two hundred thirteen million, three hundred sixty-one thousand, six hundred forty".