32421230320400 has 360 divisors, whose sum is σ = 80667947860632. Its totient is φ = 12517406720000.

The previous prime is 32421230320397. The next prime is 32421230320441. The reversal of 32421230320400 is 402303212423.

It can be written as a sum of positive squares in 36 ways, for example, as 12351260398096 + 20069969922304 = 3514436^2 + 4479952^2 .

It is a super-2 number, since 2×32421230320400² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32421230320400.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42603456020 + ... + 42603456780.

Almost surely, 2^{32421230320400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32421230320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40333973930316).

32421230320400 is an abundant number, since it is smaller than the sum of its proper divisors (48246717540232).

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

32421230320400 is a wasteful number, since it uses less digits than its factorization.

32421230320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 32421230320400 its reverse (402303212423), we get a palindrome (32823533532823).

The spelling of 32421230320400 in words is "thirty-two trillion, four hundred twenty-one billion, two hundred thirty million, three hundred twenty thousand, four hundred".