4432412000 has 48 divisors (see below), whose sum is σ = 10890446112. Its totient is φ = 1772963200.

The previous prime is 4432411981. The next prime is 4432412009. The reversal of 4432412000 is 2142344.

It is a super-2 number, since 2×4432412000² = 39292552275488000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4432412009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 550052 + ... + 558051.

It is an arithmetic number, because the mean of its divisors is an integer number (226884294).

Almost surely, 2^4432412000 is an apocalyptic number.

4432412000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4432412000 is an abundant number, since it is smaller than the sum of its proper divisors (6458034112).

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

4432412000 is a wasteful number, since it uses less digits than its factorization.

4432412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108128 (or 1108110 counting only the distinct ones).

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

The square root of 4432412000 is about 66576.3621715696. The cubic root of 4432412000 is about 1642.6563139152.

Adding to 4432412000 its reverse (2142344), we get a palindrome (4434554344).

The spelling of 4432412000 in words is "four billion, four hundred thirty-two million, four hundred twelve thousand".