4186290240 has 504 divisors, whose sum is σ = 16268465304. Its totient is φ = 986726400.

The previous prime is 4186290221. The next prime is 4186290247. The reversal of 4186290240 is 420926814.

4186290240 is a `hidden beast` number, since 4 + 1 + 8 + 629 + 0 + 24 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 402564096 + 3783726144 = 20064^2 + 61512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4186290195 and 4186290204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4186290247) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14287534 + ... + 14287826.

It is an arithmetic number, because the mean of its divisors is an integer number (32278701).

Almost surely, 2^4186290240 is an apocalyptic number.

4186290240 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 4186290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8134232652).

4186290240 is an abundant number, since it is smaller than the sum of its proper divisors (12082175064).

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

4186290240 is a wasteful number, since it uses less digits than its factorization.

4186290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4186290240 is about 64701.5474312632. The cubic root of 4186290240 is about 1611.6711991042.

The spelling of 4186290240 in words is "four billion, one hundred eighty-six million, two hundred ninety thousand, two hundred forty".