4250085120 has 288 divisors, whose sum is σ = 15572336640. Its totient is φ = 1096519680.

The previous prime is 4250085101. The next prime is 4250085139. The reversal of 4250085120 is 215800524.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4250085101) and next prime (4250085139).

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1069377 + ... + 1073343.

Almost surely, 2^4250085120 is an apocalyptic number.

4250085120 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 4250085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7786168320).

4250085120 is an abundant number, since it is smaller than the sum of its proper divisors (11322251520).

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

4250085120 is a wasteful number, since it uses less digits than its factorization.

4250085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4028 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 4250085120 is about 65192.6768893562. The cubic root of 4250085120 is about 1619.8167145178.

Adding to 4250085120 its reverse (215800524), we get a palindrome (4465885644).

It can be divided in two parts, 425008 and 5120, that added together give a triangular number (430128 = T₉₂₇).

The spelling of 4250085120 in words is "four billion, two hundred fifty million, eighty-five thousand, one hundred twenty".