213234215040 has 1536 divisors, whose sum is σ = 1005663859200. Its totient is φ = 41653370880.

The previous prime is 213234215027. The next prime is 213234215053. The reversal of 213234215040 is 40512432312.

213234215040 is a `hidden beast` number, since 2 + 132 + 3 + 4 + 21 + 504 + 0 = 666.

213234215040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213234215027) and next prime (213234215053).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 213234214995 and 213234215013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 248814292 + ... + 248815148.

It is an arithmetic number, because the mean of its divisors is an integer number (654729075).

Almost surely, 2^213234215040 is an apocalyptic number.

213234215040 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 213234215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502831929600).

213234215040 is an abundant number, since it is smaller than the sum of its proper divisors (792429644160).

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

213234215040 is a wasteful number, since it uses less digits than its factorization.

213234215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 213234215040 its reverse (40512432312), we get a palindrome (253746647352).

The spelling of 213234215040 in words is "two hundred thirteen billion, two hundred thirty-four million, two hundred fifteen thousand, forty".