213026014400 has 84 divisors (see below), whose sum is σ = 531560196720. Its totient is φ = 84010214400.

The previous prime is 213026014321. The next prime is 213026014441. The reversal of 213026014400 is 4410620312.

It is a super-2 number, since 2×213026014400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 824015 + ... + 1051214.

It is an arithmetic number, because the mean of its divisors is an integer number (6328097580).

Almost surely, 2^213026014400 is an apocalyptic number.

213026014400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213026014400 is an abundant number, since it is smaller than the sum of its proper divisors (318534182320).

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

213026014400 is a wasteful number, since it uses less digits than its factorization.

213026014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875322 (or 1875307 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 213026014400 its reverse (4410620312), we get a palindrome (217436634712).

The spelling of 213026014400 in words is "two hundred thirteen billion, twenty-six million, fourteen thousand, four hundred".