4246089120 has 576 divisors, whose sum is σ = 18629533440. Its totient is φ = 895297536.

The previous prime is 4246089097. The next prime is 4246089121. The reversal of 4246089120 is 219806424.

4246089120 is a `hidden beast` number, since 4 + 24 + 608 + 9 + 1 + 20 = 666.

4246089120 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 a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4246089121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2751069 + ... + 2752611.

It is an arithmetic number, because the mean of its divisors is an integer number (32342940).

Almost surely, 2^4246089120 is an apocalyptic number.

4246089120 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 4246089120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9314766720).

4246089120 is an abundant number, since it is smaller than the sum of its proper divisors (14383444320).

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

4246089120 is a wasteful number, since it uses less digits than its factorization.

4246089120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4246089120 is about 65162.0220680727. The cubic root of 4246089120 is about 1619.3088958839.

The spelling of 4246089120 in words is "four billion, two hundred forty-six million, eighty-nine thousand, one hundred twenty".