214352301400 has 48 divisors (see below), whose sum is σ = 498409662240. Its totient is φ = 85733942400.

The previous prime is 214352301389. The next prime is 214352301403. The reversal of 214352301400 is 4103253412.

214352301400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×214352301400⁴ (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214352301403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2923185 + ... + 2995615.

It is an arithmetic number, because the mean of its divisors is an integer number (10383534630).

Almost surely, 2^214352301400 is an apocalyptic number.

214352301400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214352301400 is an abundant number, since it is smaller than the sum of its proper divisors (284057360840).

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

214352301400 is a wasteful number, since it uses less digits than its factorization.

214352301400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87244 (or 87235 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 214352301400 its reverse (4103253412), we get a palindrome (218455554812).

The spelling of 214352301400 in words is "two hundred fourteen billion, three hundred fifty-two million, three hundred one thousand, four hundred".