4191785320 has 128 divisors (see below), whose sum is σ = 10152345600. Its totient is φ = 1552953600.

The previous prime is 4191785303. The next prime is 4191785321. The reversal of 4191785320 is 235871914.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4191785321) 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 31 ways as a sum of consecutive naturals, for example, 9725505 + ... + 9725935.

It is an arithmetic number, because the mean of its divisors is an integer number (79315200).

Almost surely, 2^4191785320 is an apocalyptic number.

4191785320 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 4191785320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5076172800).

4191785320 is an abundant number, since it is smaller than the sum of its proper divisors (5960560280).

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

4191785320 is a wasteful number, since it uses less digits than its factorization.

4191785320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 4191785320 is about 64743.9983318917. The cubic root of 4191785320 is about 1612.3760705990.

The spelling of 4191785320 in words is "four billion, one hundred ninety-one million, seven hundred eighty-five thousand, three hundred twenty".