4225140288 has 252 divisors, whose sum is σ = 13279488300. Its totient is φ = 1279918080.

The previous prime is 4225140277. The next prime is 4225140313. The reversal of 4225140288 is 8820415224.

4225140288 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2949793344 + 1275346944 = 54312^2 + 35712^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9409888 + ... + 9410336.

Almost surely, 2^4225140288 is an apocalyptic number.

4225140288 is a gapful number since it is divisible by the number (48) 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 4225140288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6639744150).

4225140288 is an abundant number, since it is smaller than the sum of its proper divisors (9054348012).

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

4225140288 is a wasteful number, since it uses less digits than its factorization.

4225140288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 4225140288 is about 65001.0791295037. The cubic root of 4225140288 is about 1616.6414553100.

The spelling of 4225140288 in words is "four billion, two hundred twenty-five million, one hundred forty thousand, two hundred eighty-eight".