4225130640 has 320 divisors, whose sum is σ = 15470438400. Its totient is φ = 1057867776.

The previous prime is 4225130639. The next prime is 4225130641. The reversal of 4225130640 is 460315224.

4225130640 is a `hidden beast` number, since 4 + 2 + 2 + 5 + 13 + 0 + 640 = 666.

4225130640 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 is an interprime number because it is at equal distance from previous prime (4225130639) and next prime (4225130641).

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

It is not an unprimeable number, because it can be changed into a prime (4225130641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2316769 + ... + 2318591.

It is an arithmetic number, because the mean of its divisors is an integer number (48345120).

Almost surely, 2^4225130640 is an apocalyptic number.

4225130640 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 4225130640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7735219200).

4225130640 is an abundant number, since it is smaller than the sum of its proper divisors (11245307760).

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

4225130640 is a wasteful number, since it uses less digits than its factorization.

4225130640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4225130640 is about 65001.0049153088. The cubic root of 4225130640 is about 1616.6402247892.

Adding to 4225130640 its reverse (460315224), we get a palindrome (4685445864).

The spelling of 4225130640 in words is "four billion, two hundred twenty-five million, one hundred thirty thousand, six hundred forty".