4045312000 has 104 divisors (see below), whose sum is σ = 10097143992. Its totient is φ = 1617920000.

The previous prime is 4045311971. The next prime is 4045312001. The reversal of 4045312000 is 2135404.

It can be written as a sum of positive squares in 4 ways, for example, as 55115776 + 3990196224 = 7424^2 + 63168^2 .

It is not an unprimeable number, because it can be changed into a prime (4045312001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 508050 + ... + 515950.

It is an arithmetic number, because the mean of its divisors is an integer number (97087923).

Almost surely, 2^4045312000 is an apocalyptic number.

4045312000 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 4045312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5048571996).

4045312000 is an abundant number, since it is smaller than the sum of its proper divisors (6051831992).

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

4045312000 is an frugal number, since it uses more digits than its factorization.

4045312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7940 (or 7908 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 4045312000 is about 63602.7672353963. The cubic root of 4045312000 is about 1593.3725862698.

Adding to 4045312000 its reverse (2135404), we get a palindrome (4047447404).

The spelling of 4045312000 in words is "four billion, forty-five million, three hundred twelve thousand".