213342642240 has 448 divisors, whose sum is σ = 843750383616. Its totient is φ = 44469116928.

The previous prime is 213342642229. The next prime is 213342642257. The reversal of 213342642240 is 42246243312.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7236169 + ... + 7265591.

It is an arithmetic number, because the mean of its divisors is an integer number (1883371392).

Almost surely, 2^213342642240 is an apocalyptic number.

213342642240 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 213342642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421875191808).

213342642240 is an abundant number, since it is smaller than the sum of its proper divisors (630407741376).

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

213342642240 is a wasteful number, since it uses less digits than its factorization.

213342642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29546 (or 29536 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 213342642240 its reverse (42246243312), we get a palindrome (255588885552).

The spelling of 213342642240 in words is "two hundred thirteen billion, three hundred forty-two million, six hundred forty-two thousand, two hundred forty".