4424312000 has 112 divisors (see below), whose sum is σ = 11253691488. Its totient is φ = 1721779200.

The previous prime is 4424311987. The next prime is 4424312003. The reversal of 4424312000 is 2134244.

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

It is not an unprimeable number, because it can be changed into a prime (4424312003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288527 + ... + 303473.

Almost surely, 2^4424312000 is an apocalyptic number.

4424312000 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 4424312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5626845744).

4424312000 is an abundant number, since it is smaller than the sum of its proper divisors (6829379488).

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

4424312000 is a wasteful number, since it uses less digits than its factorization.

4424312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15011 (or 14991 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4424312000 is about 66515.5019525524. The cubic root of 4424312000 is about 1641.6550810707.

Adding to 4424312000 its reverse (2134244), we get a palindrome (4426446244).

The spelling of 4424312000 in words is "four billion, four hundred twenty-four million, three hundred twelve thousand".