214416421300 has 288 divisors, whose sum is σ = 515342016000. Its totient is φ = 77172480000.

The previous prime is 214416421249. The next prime is 214416421301. The reversal of 214416421300 is 3124614412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214416421301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 614373526 + ... + 614373874.

It is an arithmetic number, because the mean of its divisors is an integer number (1789382000).

Almost surely, 2^214416421300 is an apocalyptic number.

214416421300 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 214416421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257671008000).

214416421300 is an abundant number, since it is smaller than the sum of its proper divisors (300925594700).

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

214416421300 is a wasteful number, since it uses less digits than its factorization.

214416421300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 214416421300 in words is "two hundred fourteen billion, four hundred sixteen million, four hundred twenty-one thousand, three hundred".