214024301400 has 192 divisors, whose sum is σ = 816585235200. Its totient is φ = 45156764160.

The previous prime is 214024301399. The next prime is 214024301401. The reversal of 214024301400 is 4103420412.

It is an interprime number because it is at equal distance from previous prime (214024301399) and next prime (214024301401).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214024301401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1905330 + ... + 2014529.

It is an arithmetic number, because the mean of its divisors is an integer number (4253048100).

Almost surely, 2^214024301400 is an apocalyptic number.

214024301400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214024301400 is an abundant number, since it is smaller than the sum of its proper divisors (602560933800).

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

214024301400 is a wasteful number, since it uses less digits than its factorization.

214024301400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919898 (or 3919889 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 214024301400 its reverse (4103420412), we get a palindrome (218127721812).

The spelling of 214024301400 in words is "two hundred fourteen billion, twenty-four million, three hundred one thousand, four hundred".