4027121280 has 768 divisors, whose sum is σ = 17740166400. Its totient is φ = 845365248.

The previous prime is 4027121251. The next prime is 4027121297. The reversal of 4027121280 is 821217204.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20442142 + ... + 20442338.

It is an arithmetic number, because the mean of its divisors is an integer number (23099175).

Almost surely, 2^4027121280 is an apocalyptic number.

4027121280 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 4027121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8870083200).

4027121280 is an abundant number, since it is smaller than the sum of its proper divisors (13713045120).

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

4027121280 is a wasteful number, since it uses less digits than its factorization.

4027121280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 4027121280 is about 63459.6035285440. The cubic root of 4027121280 is about 1590.9806694998.

Adding to 4027121280 its reverse (821217204), we get a palindrome (4848338484).

The spelling of 4027121280 in words is "four billion, twenty-seven million, one hundred twenty-one thousand, two hundred eighty".