4250759040 has 768 divisors, whose sum is σ = 17581536000. Its totient is φ = 967127040.

The previous prime is 4250759039. The next prime is 4250759047. The reversal of 4250759040 is 409570524.

4250759040 is a `hidden beast` number, since 4 + 25 + 0 + 7 + 590 + 40 = 666.

It is a super-2 number, since 2×4250759040² = 36137904832283443200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4250758986 and 4250759004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4250759047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39726667 + ... + 39726773.

It is an arithmetic number, because the mean of its divisors is an integer number (22892625).

Almost surely, 2^4250759040 is an apocalyptic number.

4250759040 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 4250759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8790768000).

4250759040 is an abundant number, since it is smaller than the sum of its proper divisors (13330776960).

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

4250759040 is a wasteful number, since it uses less digits than its factorization.

4250759040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 4250759040 is about 65197.8453631713. The cubic root of 4250759040 is about 1619.9023260727.

The spelling of 4250759040 in words is "four billion, two hundred fifty million, seven hundred fifty-nine thousand, forty".