4214984130 has 384 divisors, whose sum is σ = 14022328320. Its totient is φ = 856604160.

The previous prime is 4214984119. The next prime is 4214984143. The reversal of 4214984130 is 314894124.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13729437 + ... + 13729743.

It is an arithmetic number, because the mean of its divisors is an integer number (36516480).

Almost surely, 2^4214984130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4214984130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7011164160).

4214984130 is an abundant number, since it is smaller than the sum of its proper divisors (9807344190).

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

4214984130 is a wasteful number, since it uses less digits than its factorization.

4214984130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4214984130 is about 64922.9091307529. The cubic root of 4214984130 is about 1615.3450850033.

The spelling of 4214984130 in words is "four billion, two hundred fourteen million, nine hundred eighty-four thousand, one hundred thirty".