10332214022400 has 216 divisors, whose sum is σ = 34117955477760. Its totient is φ = 2753681694720.

The previous prime is 10332214022393. The next prime is 10332214022401. The reversal of 10332214022400 is 422041223301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10332214022401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33619834 + ... + 33925766.

Almost surely, 2^{10332214022400} is an apocalyptic number.

10332214022400 is a gapful number since it is divisible by the number (10) 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 10332214022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17058977738880).

10332214022400 is an abundant number, since it is smaller than the sum of its proper divisors (23785741455360).

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

10332214022400 is a wasteful number, since it uses less digits than its factorization.

10332214022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307721 (or 307702 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10332214022400 its reverse (422041223301), we get a palindrome (10754255245701).

The spelling of 10332214022400 in words is "ten trillion, three hundred thirty-two billion, two hundred fourteen million, twenty-two thousand, four hundred".