4214306376 has 192 divisors, whose sum is σ = 13683870720. Its totient is φ = 1145612160.

The previous prime is 4214306351. The next prime is 4214306407. The reversal of 4214306376 is 6736034124.

It is a happy number.

4214306376 is a `hidden beast` number, since 4 + 2 + 14 + 3 + 0 + 637 + 6 = 666.

4214306376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4214306376.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2445051 + ... + 2446773.

It is an arithmetic number, because the mean of its divisors is an integer number (71270160).

Almost surely, 2^4214306376 is an apocalyptic number.

4214306376 is a gapful number since it is divisible by the number (46) 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 4214306376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6841935360).

4214306376 is an abundant number, since it is smaller than the sum of its proper divisors (9469564344).

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

4214306376 is a wasteful number, since it uses less digits than its factorization.

4214306376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 4214306376 is about 64917.6892379881. The cubic root of 4214306376 is about 1615.2584998392.

The spelling of 4214306376 in words is "four billion, two hundred fourteen million, three hundred six thousand, three hundred seventy-six".