4145829090 has 128 divisors (see below), whose sum is σ = 11035664640. Its totient is φ = 990323712.

The previous prime is 4145829043. The next prime is 4145829091. The reversal of 4145829090 is 909285414.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4145829091) 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 63 ways as a sum of consecutive naturals, for example, 2900496 + ... + 2901924.

It is an arithmetic number, because the mean of its divisors is an integer number (86216130).

Almost surely, 2^4145829090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4145829090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5517832320).

4145829090 is an abundant number, since it is smaller than the sum of its proper divisors (6889835550).

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

4145829090 is a wasteful number, since it uses less digits than its factorization.

4145829090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668.

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 4145829090 is about 64388.1129557312. The cubic root of 4145829090 is about 1606.4620289883.

The spelling of 4145829090 in words is "four billion, one hundred forty-five million, eight hundred twenty-nine thousand, ninety".