10332021400 has 288 divisors, whose sum is σ = 27119804400. Its totient is φ = 3648153600.

The previous prime is 10332021379. The next prime is 10332021407. The reversal of 10332021400 is 412023301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10332021407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 169377370 + ... + 169377430.

Almost surely, 2^10332021400 is an apocalyptic number.

10332021400 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 10332021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13559902200).

10332021400 is an abundant number, since it is smaller than the sum of its proper divisors (16787783000).

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

10332021400 is a wasteful number, since it uses less digits than its factorization.

10332021400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10332021400 its reverse (412023301), we get a palindrome (10744044701).

The spelling of 10332021400 in words is "ten billion, three hundred thirty-two million, twenty-one thousand, four hundred".