214316051400 has 288 divisors, whose sum is σ = 786957444000. Its totient is φ = 51837542400.

The previous prime is 214316051353. The next prime is 214316051431. The reversal of 214316051400 is 4150613412.

It is a happy number.

214316051400 is a `hidden beast` number, since 2 + 1 + 43 + 1 + 605 + 14 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8878147 + ... + 8902253.

It is an arithmetic number, because the mean of its divisors is an integer number (2732491125).

Almost surely, 2^214316051400 is an apocalyptic number.

214316051400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214316051400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393478722000).

214316051400 is an abundant number, since it is smaller than the sum of its proper divisors (572641392600).

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

214316051400 is a wasteful number, since it uses less digits than its factorization.

214316051400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24589 (or 24577 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 214316051400 its reverse (4150613412), we get a palindrome (218466664812).

The spelling of 214316051400 in words is "two hundred fourteen billion, three hundred sixteen million, fifty-one thousand, four hundred".