4206090240 has 480 divisors, whose sum is σ = 16482145680. Its totient is φ = 1017446400.

The previous prime is 4206090233. The next prime is 4206090257. The reversal of 4206090240 is 420906024.

It is a tau number, because it is divible by the number of its divisors (480).

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 39 ways as a sum of consecutive naturals, for example, 9123610 + ... + 9124070.

Almost surely, 2^4206090240 is an apocalyptic number.

4206090240 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 4206090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8241072840).

4206090240 is an abundant number, since it is smaller than the sum of its proper divisors (12276055440).

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

4206090240 is a wasteful number, since it uses less digits than its factorization.

4206090240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4206090240 is about 64854.3771845818. The cubic root of 4206090240 is about 1614.2081239609.

Adding to 4206090240 its reverse (420906024), we get a palindrome (4626996264).

The spelling of 4206090240 in words is "four billion, two hundred six million, ninety thousand, two hundred forty".