4350205440 has 720 divisors, whose sum is σ = 18362833632. Its totient is φ = 967458816.

The previous prime is 4350205397. The next prime is 4350205543. The reversal of 4350205440 is 445020534.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117573102 + ... + 117573138.

Almost surely, 2^4350205440 is an apocalyptic number.

4350205440 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 4350205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9181416816).

4350205440 is an abundant number, since it is smaller than the sum of its proper divisors (14012628192).

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

4350205440 is an frugal number, since it uses more digits than its factorization.

4350205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 4350205440 is about 65956.0872095973. The cubic root of 4350205440 is about 1632.4375989162.

Adding to 4350205440 its reverse (445020534), we get a palindrome (4795225974).

The spelling of 4350205440 in words is "four billion, three hundred fifty million, two hundred five thousand, four hundred forty".