214402430041300 has 72 divisors (see below), whose sum is σ = 465444894620160. Its totient is φ = 85725656016000.

The previous prime is 214402430041277. The next prime is 214402430041301. The reversal of 214402430041300 is 3140034204412.

It is a super-2 number, since 2×214402430041300² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214402430041301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3580564761 + ... + 3580624639.

It is an arithmetic number, because the mean of its divisors is an integer number (6464512425280).

Almost surely, 2^{214402430041300} is an apocalyptic number.

214402430041300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214402430041300 is an abundant number, since it is smaller than the sum of its proper divisors (251042464578860).

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

214402430041300 is a wasteful number, since it uses less digits than its factorization.

214402430041300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74041 (or 74034 counting only the distinct ones).

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

Adding to 214402430041300 its reverse (3140034204412), we get a palindrome (217542464245712).

The spelling of 214402430041300 in words is "two hundred fourteen trillion, four hundred two billion, four hundred thirty million, forty-one thousand, three hundred".