4030145280 has 504 divisors, whose sum is σ = 16568026272. Its totient is φ = 919683072.

The previous prime is 4030145279. The next prime is 4030145293. The reversal of 4030145280 is 825410304.

4030145280 is a `hidden beast` number, since 40 + 301 + 45 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6531532 + ... + 6532148.

It is an arithmetic number, because the mean of its divisors is an integer number (32873068).

Almost surely, 2^4030145280 is an apocalyptic number.

4030145280 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 4030145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8284013136).

4030145280 is an abundant number, since it is smaller than the sum of its proper divisors (12537880992).

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

4030145280 is an frugal number, since it uses more digits than its factorization.

4030145280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4030145280 is about 63483.4252384038. The cubic root of 4030145280 is about 1591.3787968861.

Adding to 4030145280 its reverse (825410304), we get a palindrome (4855555584).

The spelling of 4030145280 in words is "four billion, thirty million, one hundred forty-five thousand, two hundred eighty".