4032321010400 has 288 divisors, whose sum is σ = 10919676096000. Its totient is φ = 1447117056000.

The previous prime is 4032321010379. The next prime is 4032321010441. The reversal of 4032321010400 is 40101232304.

It is a super-2 number, since 2×4032321010400² (a number of 26 digits) 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 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 47 ways as a sum of consecutive naturals, for example, 35252501 + ... + 35366699.

It is an arithmetic number, because the mean of its divisors is an integer number (37915542000).

Almost surely, 2^{4032321010400} is an apocalyptic number.

4032321010400 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 4032321010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5459838048000).

4032321010400 is an abundant number, since it is smaller than the sum of its proper divisors (6887355085600).

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

4032321010400 is a wasteful number, since it uses less digits than its factorization.

4032321010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114362 (or 114349 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 4032321010400 its reverse (40101232304), we get a palindrome (4072422242704).

The spelling of 4032321010400 in words is "four trillion, thirty-two billion, three hundred twenty-one million, ten thousand, four hundred".