213255040440 has 128 divisors (see below), whose sum is σ = 718933501440. Its totient is φ = 50211211776.

The previous prime is 213255040433. The next prime is 213255040441. The reversal of 213255040440 is 44040552312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 213255040398 and 213255040407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213255040441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2935902 + ... + 3007661.

It is an arithmetic number, because the mean of its divisors is an integer number (5616667980).

Almost surely, 2^213255040440 is an apocalyptic number.

213255040440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213255040440 is an abundant number, since it is smaller than the sum of its proper divisors (505678461000).

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

213255040440 is a wasteful number, since it uses less digits than its factorization.

213255040440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5943613 (or 5943609 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 213255040440 its reverse (44040552312), we get a palindrome (257295592752).

The spelling of 213255040440 in words is "two hundred thirteen billion, two hundred fifty-five million, forty thousand, four hundred forty".