4332257280 has 408 divisors, whose sum is σ = 16316766648. Its totient is φ = 1056964608.

The previous prime is 4332257231. The next prime is 4332257287. The reversal of 4332257280 is 827522334.

4332257280 is a `hidden beast` number, since 4 + 3 + 3 + 2 + 2 + 572 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 170459136 + 4161798144 = 13056^2 + 64512^2 .

It is a super-2 number, since 2×4332257280² = 37536906280225996800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4332257287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38338504 + ... + 38338616.

Almost surely, 2^4332257280 is an apocalyptic number.

4332257280 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 4332257280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8158383324).

4332257280 is an abundant number, since it is smaller than the sum of its proper divisors (11984509368).

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

4332257280 is a wasteful number, since it uses less digits than its factorization.

4332257280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4332257280 is about 65819.8851411942. The cubic root of 4332257280 is about 1630.1894569450.

The spelling of 4332257280 in words is "four billion, three hundred thirty-two million, two hundred fifty-seven thousand, two hundred eighty".