4214519232 has 448 divisors, whose sum is σ = 15116129280. Its totient is φ = 1002700800.

The previous prime is 4214519227. The next prime is 4214519269. The reversal of 4214519232 is 2329154124.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 4214519193 and 4214519202.

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 63 ways as a sum of consecutive naturals, for example, 10304244 + ... + 10304652.

It is an arithmetic number, because the mean of its divisors is an integer number (33741360).

Almost surely, 2^4214519232 is an apocalyptic number.

4214519232 is a gapful number since it is divisible by the number (42) 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 4214519232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7558064640).

4214519232 is an abundant number, since it is smaller than the sum of its proper divisors (10901610048).

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

4214519232 is a wasteful number, since it uses less digits than its factorization.

4214519232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 490 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 4214519232 is about 64919.3286471756. The cubic root of 4214519232 is about 1615.2856938497.

The spelling of 4214519232 in words is "four billion, two hundred fourteen million, five hundred nineteen thousand, two hundred thirty-two".