11291078448400 has 135 divisors (see below), whose sum is σ = 28819291491471. Its totient is φ = 4250328837120.

The previous prime is 11291078448373. The next prime is 11291078448431. The reversal of 11291078448400 is 484487019211.

It is a happy number.

The square root of 11291078448400 is 3360220.

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 264109655056 + 11026968793344 = 513916^2 + 3320688^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1142469859 + ... + 1142479741.

Almost surely, 2^{11291078448400} is an apocalyptic number.

11291078448400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11291078448400 is the 3360220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11291078448400

11291078448400 is an abundant number, since it is smaller than the sum of its proper divisors (17528213043071).

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

11291078448400 is an frugal number, since it uses more digits than its factorization.

11291078448400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19818 (or 9907 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 49.

Multiplying 11291078448400 by its sum of digits (49), we get a square (553262843971600 = 23521540²).

The spelling of 11291078448400 in words is "eleven trillion, two hundred ninety-one billion, seventy-eight million, four hundred forty-eight thousand, four hundred".