4395140640 has 288 divisors, whose sum is σ = 16435089216. Its totient is φ = 1060730880.

The previous prime is 4395140623. The next prime is 4395140671. The reversal of 4395140640 is 460415934.

4395140640 is a `hidden beast` number, since 4 + 3 + 9 + 5 + 1 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4395140640² = 38634522490759219200, which contains 22 as substring.

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 = 4395140595 and 4395140604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4640647 + ... + 4641593.

It is an arithmetic number, because the mean of its divisors is an integer number (57066282).

Almost surely, 2^4395140640 is an apocalyptic number.

4395140640 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 4395140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8217544608).

4395140640 is an abundant number, since it is smaller than the sum of its proper divisors (12039948576).

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

4395140640 is a wasteful number, since it uses less digits than its factorization.

4395140640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4395140640 is about 66295.8568841221. The cubic root of 4395140640 is about 1638.0390800517.

The spelling of 4395140640 in words is "four billion, three hundred ninety-five million, one hundred forty thousand, six hundred forty".