4186320240 has 80 divisors (see below), whose sum is σ = 13008024576. Its totient is φ = 1113734400.

The previous prime is 4186320239. The next prime is 4186320251. The reversal of 4186320240 is 420236814.

4186320240 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4186320198 and 4186320207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83205 + ... + 123675.

Almost surely, 2^4186320240 is an apocalyptic number.

4186320240 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 4186320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6504012288).

4186320240 is an abundant number, since it is smaller than the sum of its proper divisors (8821704336).

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

4186320240 is a wasteful number, since it uses less digits than its factorization.

4186320240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40918 (or 40912 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 4186320240 is about 64701.7792645612. The cubic root of 4186320240 is about 1611.6750489743.

The spelling of 4186320240 in words is "four billion, one hundred eighty-six million, three hundred twenty thousand, two hundred forty".