4185745920 has 240 divisors, whose sum is σ = 14611877280. Its totient is φ = 1107320832.

The previous prime is 4185745913. The next prime is 4185745931. The reversal of 4185745920 is 295475814.

4185745920 is a `hidden beast` number, since 4 + 1 + 8 + 57 + 4 + 592 + 0 = 666.

4185745920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3201907 + ... + 3203213.

It is an arithmetic number, because the mean of its divisors is an integer number (60882822).

Almost surely, 2^4185745920 is an apocalyptic number.

4185745920 is a gapful number since it is divisible by the number (40) 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 4185745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7305938640).

4185745920 is an abundant number, since it is smaller than the sum of its proper divisors (10426131360).

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

4185745920 is a wasteful number, since it uses less digits than its factorization.

4185745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 4185745920 is about 64697.3409036260. The cubic root of 4185745920 is about 1611.6013438672.

The spelling of 4185745920 in words is "four billion, one hundred eighty-five million, seven hundred forty-five thousand, nine hundred twenty".