4229153280 has 720 divisors, whose sum is σ = 16937712792. Its totient is φ = 973209600.

The previous prime is 4229153273. The next prime is 4229153287. The reversal of 4229153280 is 823519224.

It is a happy number.

4229153280 is a `hidden beast` number, since 4 + 229 + 153 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (4229153273) and next prime (4229153287).

It can be written as a sum of positive squares in 4 ways, for example, as 3191798016 + 1037355264 = 56496^2 + 32208^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 (4229153287) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 103150060 + ... + 103150100.

Almost surely, 2^4229153280 is an apocalyptic number.

4229153280 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 4229153280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8468856396).

4229153280 is an abundant number, since it is smaller than the sum of its proper divisors (12708559512).

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

4229153280 is a wasteful number, since it uses less digits than its factorization.

4229153280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4229153280 is about 65031.9404600539. The cubic root of 4229153280 is about 1617.1531161408.

The spelling of 4229153280 in words is "four billion, two hundred twenty-nine million, one hundred fifty-three thousand, two hundred eighty".