10332344400 has 480 divisors, whose sum is σ = 40814054400. Its totient is φ = 2181427200.

The previous prime is 10332344383. The next prime is 10332344411. The reversal of 10332344400 is 444323301.

It is a super-2 number, since 2×10332344400² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6542811 + ... + 6544389.

It is an arithmetic number, because the mean of its divisors is an integer number (85029280).

Almost surely, 2^10332344400 is an apocalyptic number.

10332344400 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 10332344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20407027200).

10332344400 is an abundant number, since it is smaller than the sum of its proper divisors (30481710000).

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

10332344400 is a wasteful number, since it uses less digits than its factorization.

10332344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 10332344400 its reverse (444323301), we get a palindrome (10776667701).

The spelling of 10332344400 in words is "ten billion, three hundred thirty-two million, three hundred forty-four thousand, four hundred".