4186399140 has 576 divisors, whose sum is σ = 16709736960. Its totient is φ = 862202880.

The previous prime is 4186399127. The next prime is 4186399193. The reversal of 4186399140 is 419936814.

4186399140 is a `hidden beast` number, since 4 + 1 + 8 + 639 + 9 + 1 + 4 + 0 = 666.

4186399140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 37047724 + ... + 37047836.

It is an arithmetic number, because the mean of its divisors is an integer number (29009960).

Almost surely, 2^4186399140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4186399140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8354868480).

4186399140 is an abundant number, since it is smaller than the sum of its proper divisors (12523337820).

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

4186399140 is a wasteful number, since it uses less digits than its factorization.

4186399140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 4186399140 is about 64702.3889821697. The cubic root of 4186399140 is about 1611.6851740448.

The spelling of 4186399140 in words is "four billion, one hundred eighty-six million, three hundred ninety-nine thousand, one hundred forty".