213041402340400 has 60 divisors (see below), whose sum is σ = 524315675727144. Its totient is φ = 83138108224000.

The previous prime is 213041402340341. The next prime is 213041402340421. The reversal of 213041402340400 is 4043204140312.

It is a super-2 number, since 2×213041402340400² (a number of 29 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 11 ways as a sum of consecutive naturals, for example, 6495148306 + ... + 6495181105.

Almost surely, 2^{213041402340400} is an apocalyptic number.

213041402340400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213041402340400 is an abundant number, since it is smaller than the sum of its proper divisors (311274273386744).

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

213041402340400 is a wasteful number, since it uses less digits than its factorization.

213041402340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12990329470 (or 12990329459 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 213041402340400 its reverse (4043204140312), we get a palindrome (217084606480712).

The spelling of 213041402340400 in words is "two hundred thirteen trillion, forty-one billion, four hundred two million, three hundred forty thousand, four hundred".