4190443920 has 240 divisors, whose sum is σ = 15953770560. Its totient is φ = 977163264.

The previous prime is 4190443897. The next prime is 4190443921. The reversal of 4190443920 is 293440914.

4190443920 is a `hidden beast` number, since 4 + 190 + 443 + 9 + 20 = 666.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (4190443921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166059 + ... + 189621.

It is an arithmetic number, because the mean of its divisors is an integer number (66474044).

Almost surely, 2^4190443920 is an apocalyptic number.

4190443920 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 4190443920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7976885280).

4190443920 is an abundant number, since it is smaller than the sum of its proper divisors (11763326640).

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

4190443920 is a wasteful number, since it uses less digits than its factorization.

4190443920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23614 (or 23605 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4190443920 is about 64733.6382416437. The cubic root of 4190443920 is about 1612.2040617893.

The spelling of 4190443920 in words is "four billion, one hundred ninety million, four hundred forty-three thousand, nine hundred twenty".