4350404000 has 96 divisors (see below), whose sum is σ = 11153915136. Its totient is φ = 1664467200.

The previous prime is 4350403997. The next prime is 4350404011. The reversal of 4350404000 is 4040534.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 68357 + ... + 115643.

It is an arithmetic number, because the mean of its divisors is an integer number (116186616).

Almost surely, 2^4350404000 is an apocalyptic number.

4350404000 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 4350404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5576957568).

4350404000 is an abundant number, since it is smaller than the sum of its proper divisors (6803511136).

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

4350404000 is a wasteful number, since it uses less digits than its factorization.

4350404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47335 (or 47317 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 4350404000 is about 65957.5924363526. The cubic root of 4350404000 is about 1632.4624354351.

Adding to 4350404000 its reverse (4040534), we get a palindrome (4354444534).

The spelling of 4350404000 in words is "four billion, three hundred fifty million, four hundred four thousand".