4164049890 has 768 divisors, whose sum is σ = 15885434880. Its totient is φ = 762048000.

The previous prime is 4164049801. The next prime is 4164049891. The reversal of 4164049890 is 989404614.

It is a super-2 number, since 2×4164049890² = 34678622972818024200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164049891) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 58648555 + ... + 58648625.

It is an arithmetic number, because the mean of its divisors is an integer number (20684160).

Almost surely, 2^4164049890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4164049890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7942717440).

4164049890 is an abundant number, since it is smaller than the sum of its proper divisors (11721384990).

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

4164049890 is a wasteful number, since it uses less digits than its factorization.

4164049890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4164049890 is about 64529.4497884493. The cubic root of 4164049890 is about 1608.8120411194.

The spelling of 4164049890 in words is "four billion, one hundred sixty-four million, forty-nine thousand, eight hundred ninety".