4214131400 has 24 divisors (see below), whose sum is σ = 9797855970. Its totient is φ = 1685652480.

The previous prime is 4214131303. The next prime is 4214131403. The reversal of 4214131400 is 41314124.

It can be written as a sum of positive squares in 3 ways, for example, as 1876795684 + 2337335716 = 43322^2 + 48346^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4214131403) 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 5 ways as a sum of consecutive naturals, for example, 10535129 + ... + 10535528.

Almost surely, 2^4214131400 is an apocalyptic number.

4214131400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4214131400 is an abundant number, since it is smaller than the sum of its proper divisors (5583724570).

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

4214131400 is a wasteful number, since it uses less digits than its factorization.

4214131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21070673 (or 21070664 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4214131400 is about 64916.3415481803. The cubic root of 4214131400 is about 1615.2361446078.

Adding to 4214131400 its reverse (41314124), we get a palindrome (4255445524).

The spelling of 4214131400 in words is "four billion, two hundred fourteen million, one hundred thirty-one thousand, four hundred".