4165292916 has 192 divisors, whose sum is σ = 11583129600. Its totient is φ = 1291606272.

The previous prime is 4165292909. The next prime is 4165292941. The reversal of 4165292916 is 6192925614.

4165292916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18349195 + ... + 18349421.

It is an arithmetic number, because the mean of its divisors is an integer number (60328800).

Almost surely, 2^4165292916 is an apocalyptic number.

4165292916 is a gapful number since it is divisible by the number (46) 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 4165292916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791564800).

4165292916 is an abundant number, since it is smaller than the sum of its proper divisors (7417836684).

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

4165292916 is a wasteful number, since it uses less digits than its factorization.

4165292916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 427 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 4165292916 is about 64539.0805326509. The cubic root of 4165292916 is about 1608.9721093457.

The spelling of 4165292916 in words is "four billion, one hundred sixty-five million, two hundred ninety-two thousand, nine hundred sixteen".