10338822400 has 243 divisors, whose sum is σ = 27102984699. Its totient is φ = 3904512000.

The previous prime is 10338822383. The next prime is 10338822419. The reversal of 10338822400 is 422883301.

The square root of 10338822400 is 101680.

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 4351777024 + 5987045376 = 65968^2 + 77376^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 252166380 + ... + 252166420.

Almost surely, 2^10338822400 is an apocalyptic number.

10338822400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10338822400 is the 101680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10338822400

10338822400 is an abundant number, since it is smaller than the sum of its proper divisors (16764162299).

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

10338822400 is an frugal number, since it uses more digits than its factorization.

10338822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Multiplying 10338822400 by its product of nonzero digits (9216), we get a square (95282587238400 = 9761280²).

The spelling of 10338822400 in words is "ten billion, three hundred thirty-eight million, eight hundred twenty-two thousand, four hundred".