213253300440 has 192 divisors, whose sum is σ = 710858903040. Its totient is φ = 55414437120.

The previous prime is 213253300409. The next prime is 213253300471. The reversal of 213253300440 is 44003352312.

213253300440 is a `hidden beast` number, since 2 + 1 + 325 + 330 + 0 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (213253300409) and next prime (213253300471).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6655899 + ... + 6687861.

It is an arithmetic number, because the mean of its divisors is an integer number (3702390120).

Almost surely, 2^213253300440 is an apocalyptic number.

213253300440 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 213253300440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355429451520).

213253300440 is an abundant number, since it is smaller than the sum of its proper divisors (497605602600).

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

213253300440 is a wasteful number, since it uses less digits than its factorization.

213253300440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32454 (or 32447 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 213253300440 its reverse (44003352312), we get a palindrome (257256652752).

The spelling of 213253300440 in words is "two hundred thirteen billion, two hundred fifty-three million, three hundred thousand, four hundred forty".