213400122440 has 32 divisors (see below), whose sum is σ = 480544921080. Its totient is φ = 85289889792.

The previous prime is 213400122421. The next prime is 213400122461. The reversal of 213400122440 is 44221004312.

213400122440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 108795744964 + 104604377476 = 329842^2 + 323426^2 .

It is a super-2 number, since 2×213400122440² (a number of 23 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 2143187 + ... + 2240546.

Almost surely, 2^213400122440 is an apocalyptic number.

213400122440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213400122440 is an abundant number, since it is smaller than the sum of its proper divisors (267144798640).

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

213400122440 is a wasteful number, since it uses less digits than its factorization.

213400122440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4384961 (or 4384957 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 213400122440 its reverse (44221004312), we get a palindrome (257621126752).

The spelling of 213400122440 in words is "two hundred thirteen billion, four hundred million, one hundred twenty-two thousand, four hundred forty".