4206090960 has 240 divisors, whose sum is σ = 14798160000. Its totient is φ = 1068604416.

The previous prime is 4206090953. The next prime is 4206090979. The reversal of 4206090960 is 690906024.

4206090960 is a `hidden beast` number, since 42 + 0 + 609 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8263186 + ... + 8263694.

It is an arithmetic number, because the mean of its divisors is an integer number (61659000).

Almost surely, 2^4206090960 is an apocalyptic number.

4206090960 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 4206090960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399080000).

4206090960 is an abundant number, since it is smaller than the sum of its proper divisors (10592069040).

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

4206090960 is a wasteful number, since it uses less digits than its factorization.

4206090960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 4206090960 is about 64854.3827354790. The cubic root of 4206090960 is about 1614.2082160678.

Adding to 4206090960 its reverse (690906024), we get a palindrome (4896996984).

The spelling of 4206090960 in words is "four billion, two hundred six million, ninety thousand, nine hundred sixty".