213400234411040 has 24 divisors (see below), whose sum is σ = 504158053796460. Its totient is φ = 85360093764352.

The previous prime is 213400234411009. The next prime is 213400234411127. The reversal of 213400234411040 is 40114432004312.

It can be written as a sum of positive squares in 2 ways, for example, as 196656981621136 + 16743252789904 = 14023444^2 + 4091852^2 .

It is a junction number, because it is equal to n+sod(n) for n = 213400234410994 and 213400234411012.

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 3 ways as a sum of consecutive naturals, for example, 666875732375 + ... + 666875732694.

Almost surely, 2^{213400234411040} is an apocalyptic number.

213400234411040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213400234411040 is an abundant number, since it is smaller than the sum of its proper divisors (290757819385420).

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

213400234411040 is a wasteful number, since it uses less digits than its factorization.

213400234411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333751465084 (or 1333751465076 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 213400234411040 its reverse (40114432004312), we get a palindrome (253514666415352).

The spelling of 213400234411040 in words is "two hundred thirteen trillion, four hundred billion, two hundred thirty-four million, four hundred eleven thousand, forty".