4032332224320 has 224 divisors, whose sum is σ = 12827045484288. Its totient is φ = 1073242570752.

The previous prime is 4032332224313. The next prime is 4032332224331. The reversal of 4032332224320 is 234222332304.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1908343584 + ... + 1908345696.

It is an arithmetic number, because the mean of its divisors is an integer number (57263595912).

Almost surely, 2^{4032332224320} is an apocalyptic number.

4032332224320 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 4032332224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6413522742144).

4032332224320 is an abundant number, since it is smaller than the sum of its proper divisors (8794713259968).

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

4032332224320 is a wasteful number, since it uses less digits than its factorization.

4032332224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4977 (or 4967 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 4032332224320 its reverse (234222332304), we get a palindrome (4266554556624).

The spelling of 4032332224320 in words is "four trillion, thirty-two billion, three hundred thirty-two million, two hundred twenty-four thousand, three hundred twenty".