4250625120 has 768 divisors, whose sum is σ = 18202060800. Its totient is φ = 905748480.

The previous prime is 4250625059. The next prime is 4250625161. The reversal of 4250625120 is 215260524.

4250625120 is a `hidden beast` number, since 4 + 25 + 0 + 625 + 12 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32447455 + ... + 32447585.

It is an arithmetic number, because the mean of its divisors is an integer number (23700600).

Almost surely, 2^4250625120 is an apocalyptic number.

4250625120 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 4250625120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9101030400).

4250625120 is an abundant number, since it is smaller than the sum of its proper divisors (13951435680).

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

4250625120 is a wasteful number, since it uses less digits than its factorization.

4250625120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4250625120 is about 65196.8183272773. The cubic root of 4250625120 is about 1619.8853142406.

Adding to 4250625120 its reverse (215260524), we get a palindrome (4465885644).

The spelling of 4250625120 in words is "four billion, two hundred fifty million, six hundred twenty-five thousand, one hundred twenty".