4214738320 has 120 divisors (see below), whose sum is σ = 10661110056. Its totient is φ = 1548877824.

The previous prime is 4214738317. The next prime is 4214738321. The reversal of 4214738320 is 238374124.

It can be written as a sum of positive squares in 12 ways, for example, as 2231995536 + 1982742784 = 47244^2 + 44528^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214738321) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3474034 + ... + 3475246.

Almost surely, 2^4214738320 is an apocalyptic number.

4214738320 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 4214738320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5330555028).

4214738320 is an abundant number, since it is smaller than the sum of its proper divisors (6446371736).

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

4214738320 is a wasteful number, since it uses less digits than its factorization.

4214738320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 4214738320 is about 64921.0160117662. The cubic root of 4214738320 is about 1615.3136830904.

The spelling of 4214738320 in words is "four billion, two hundred fourteen million, seven hundred thirty-eight thousand, three hundred twenty".