4214248920 has 192 divisors, whose sum is σ = 15972840000. Its totient is φ = 963228672.

The previous prime is 4214248897. The next prime is 4214248921. The reversal of 4214248920 is 298424124.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214248921) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 106416 + ... + 140544.

It is an arithmetic number, because the mean of its divisors is an integer number (83191875).

Almost surely, 2^4214248920 is an apocalyptic number.

4214248920 is a gapful number since it is divisible by the number (40) 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 4214248920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7986420000).

4214248920 is an abundant number, since it is smaller than the sum of its proper divisors (11758591080).

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

4214248920 is a wasteful number, since it uses less digits than its factorization.

4214248920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34167 (or 34146 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4214248920 is about 64917.2467068652. The cubic root of 4214248920 is about 1615.2511592311.

The spelling of 4214248920 in words is "four billion, two hundred fourteen million, two hundred forty-eight thousand, nine hundred twenty".