214241222400 has 108 divisors (see below), whose sum is σ = 707040730872. Its totient is φ = 57130987520.

The previous prime is 214241222389. The next prime is 214241222417. The reversal of 214241222400 is 4222142412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 5559999 + ... + 5598398.

It is an arithmetic number, because the mean of its divisors is an integer number (6546673434).

Almost surely, 2^214241222400 is an apocalyptic number.

214241222400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214241222400 is an abundant number, since it is smaller than the sum of its proper divisors (492799508472).

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

214241222400 is a wasteful number, since it uses less digits than its factorization.

214241222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11158426 (or 11158407 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 214241222400 its reverse (4222142412), we get a palindrome (218463364812).

The spelling of 214241222400 in words is "two hundred fourteen billion, two hundred forty-one million, two hundred twenty-two thousand, four hundred".