4165950690 has 128 divisors (see below), whose sum is σ = 12269456640. Its totient is φ = 1009869120.

The previous prime is 4165950661. The next prime is 4165950707. The reversal of 4165950690 is 960595614.

It is a happy number.

4165950690 is a `hidden beast` number, since 4 + 1 + 6 + 59 + 506 + 90 = 666.

It is a super-2 number, since 2×4165950690² = 34710290303022952200, which contains 22 as substring.

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

It is a Curzon number.

It is a zygodrome in base 9.

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, 231912 + ... + 249228.

It is an arithmetic number, because the mean of its divisors is an integer number (95855130).

Almost surely, 2^4165950690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4165950690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6134728320).

4165950690 is an abundant number, since it is smaller than the sum of its proper divisors (8103505950).

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

4165950690 is a wasteful number, since it uses less digits than its factorization.

4165950690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17356 (or 17338 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 4165950690 is about 64544.1762671118. The cubic root of 4165950690 is about 1609.0568000134.

The spelling of 4165950690 in words is "four billion, one hundred sixty-five million, nine hundred fifty thousand, six hundred ninety".