213140043360 has 288 divisors, whose sum is σ = 756747194112. Its totient is φ = 56651374080.

The previous prime is 213140043349. The next prime is 213140043371. The reversal of 213140043360 is 63340041312.

213140043360 is a `hidden beast` number, since 2 + 131 + 40 + 0 + 433 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (213140043349) and next prime (213140043371).

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12082867 + ... + 12100493.

It is an arithmetic number, because the mean of its divisors is an integer number (2627594424).

Almost surely, 2^213140043360 is an apocalyptic number.

213140043360 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 213140043360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378373597056).

213140043360 is an abundant number, since it is smaller than the sum of its proper divisors (543607150752).

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

213140043360 is a wasteful number, since it uses less digits than its factorization.

213140043360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17968 (or 17948 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 213140043360 its reverse (63340041312), we get a palindrome (276480084672).

The spelling of 213140043360 in words is "two hundred thirteen billion, one hundred forty million, forty-three thousand, three hundred sixty".