4004350000 has 240 divisors, whose sum is σ = 11752122816. Its totient is φ = 1290240000.

The previous prime is 4004349989. The next prime is 4004350037. The reversal of 4004350000 is 534004.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 5949664 + ... + 5950336.

Almost surely, 2^4004350000 is an apocalyptic number.

4004350000 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 4004350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5876061408).

4004350000 is an abundant number, since it is smaller than the sum of its proper divisors (7747772816).

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

4004350000 is an equidigital number, since it uses as much as digits as its factorization.

4004350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 4004350000 is about 63279.9336282838. The cubic root of 4004350000 is about 1587.9762763811.

Adding to 4004350000 its reverse (534004), we get a palindrome (4004884004).

The spelling of 4004350000 in words is "four billion, four million, three hundred fifty thousand".