10396626384400 has 135 divisors (see below), whose sum is σ = 25114198206279. Its totient is φ = 4136079893760.

The previous prime is 10396626384373. The next prime is 10396626384409. The reversal of 10396626384400 is 448362669301.

The square root of 10396626384400 is 3224380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6075416506896 + 4321209877504 = 2464836^2 + 2078752^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10396626384409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16960238494 + ... + 16960239106.

Almost surely, 2^{10396626384400} is an apocalyptic number.

10396626384400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10396626384400 is the 3224380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10396626384400

10396626384400 is an abundant number, since it is smaller than the sum of its proper divisors (14717571821879).

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

10396626384400 is an frugal number, since it uses more digits than its factorization.

10396626384400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 52.

The spelling of 10396626384400 in words is "ten trillion, three hundred ninety-six billion, six hundred twenty-six million, three hundred eighty-four thousand, four hundred".