10434223320400 has 120 divisors (see below), whose sum is σ = 27373183013088. Its totient is φ = 3790651200000.

The previous prime is 10434223320373. The next prime is 10434223320403. The reversal of 10434223320400 is 402332243401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434223320403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3496230 + ... + 5752570.

Almost surely, 2^{10434223320400} is an apocalyptic number.

10434223320400 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 10434223320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13686591506544).

10434223320400 is an abundant number, since it is smaller than the sum of its proper divisors (16938959692688).

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

10434223320400 is a wasteful number, since it uses less digits than its factorization.

10434223320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257421 (or 2257410 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 10434223320400 its reverse (402332243401), we get a palindrome (10836555563801).

The spelling of 10434223320400 in words is "ten trillion, four hundred thirty-four billion, two hundred twenty-three million, three hundred twenty thousand, four hundred".