2200416224400 has 945 divisors, whose sum is σ = 8247225238203. Its totient is φ = 563921740800.

The previous prime is 2200416224393. The next prime is 2200416224411. The reversal of 2200416224400 is 44226140022.

The square root of 2200416224400 is 1483380.

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

2200416224400 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 416 + 2 + 244 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 926190662544 + 1274225561856 = 962388^2 + 1128816^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 32842033167 + ... + 32842033233.

Almost surely, 2^{2200416224400} is an apocalyptic number.

2200416224400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2200416224400 is the 1483380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200416224400

2200416224400 is an abundant number, since it is smaller than the sum of its proper divisors (6046809013803).

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

2200416224400 is an frugal number, since it uses more digits than its factorization.

2200416224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 2200416224400 in words is "two trillion, two hundred billion, four hundred sixteen million, two hundred twenty-four thousand, four hundred".