4168409790 has 64 divisors (see below), whose sum is σ = 10236119040. Its totient is φ = 1085894400.

The previous prime is 4168409747. The next prime is 4168409849. The reversal of 4168409790 is 979048614.

It is a super-3 number, since 3×4168409790³ (a number of 30 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 844951 + ... + 849869.

It is an arithmetic number, because the mean of its divisors is an integer number (159939360).

Almost surely, 2^4168409790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4168409790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5118059520).

4168409790 is an abundant number, since it is smaller than the sum of its proper divisors (6067709250).

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

4168409790 is a wasteful number, since it uses less digits than its factorization.

4168409790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5577.

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 4168409790 is about 64563.2232002090. The cubic root of 4168409790 is about 1609.3733386680.

The spelling of 4168409790 in words is "four billion, one hundred sixty-eight million, four hundred nine thousand, seven hundred ninety".