10944981222400 has 891 divisors, whose sum is σ = 30350934768063. Its totient is φ = 3912816230400.

The previous prime is 10944981222379. The next prime is 10944981222401. The reversal of 10944981222400 is 422218944901.

The square root of 10944981222400 is 3308320.

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 150444688384 + 10794536534016 = 387872^2 + 3285504^2 .

It is a super-3 number, since 3×10944981222400³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (10944981222401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 353063910385 + ... + 353063910415.

Almost surely, 2^{10944981222400} is an apocalyptic number.

10944981222400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10944981222400 is the 3308320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10944981222400

10944981222400 is an abundant number, since it is smaller than the sum of its proper divisors (19405953545663).

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

10944981222400 is an equidigital number, since it uses as much as digits as its factorization.

10944981222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 10944981222400 in words is "ten trillion, nine hundred forty-four billion, nine hundred eighty-one million, two hundred twenty-two thousand, four hundred".