4246107840 has 672 divisors, whose sum is σ = 17041489920. Its totient is φ = 961486848.

The previous prime is 4246107829. The next prime is 4246107863. The reversal of 4246107840 is 487016424.

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 = 4246107795 and 4246107804.

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 95 ways as a sum of consecutive naturals, for example, 33433857 + ... + 33433983.

It is an arithmetic number, because the mean of its divisors is an integer number (25359360).

Almost surely, 2^4246107840 is an apocalyptic number.

4246107840 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 4246107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8520744960).

4246107840 is an abundant number, since it is smaller than the sum of its proper divisors (12795382080).

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

4246107840 is a wasteful number, since it uses less digits than its factorization.

4246107840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4246107840 is about 65162.1657098657. The cubic root of 4246107840 is about 1619.3112755967.

The spelling of 4246107840 in words is "four billion, two hundred forty-six million, one hundred seven thousand, eight hundred forty".