371222118400 has 567 divisors, whose sum is σ = 1137639405819. Its totient is φ = 119789322240.

The previous prime is 371222118361. The next prime is 371222118437. The reversal of 371222118400 is 4811222173.

The square root of 371222118400 is 609280.

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 8683257856 + 362538860544 = 93184^2 + 602112^2 .

It is a super-2 number, since 2×371222118400² (a number of 24 digits) contains 22 as substring.

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 26 ways as a sum of consecutive naturals, for example, 21836595192 + ... + 21836595208.

Almost surely, 2^371222118400 is an apocalyptic number.

371222118400 is the 609280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 371222118400

371222118400 is an abundant number, since it is smaller than the sum of its proper divisors (766417287419).

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

371222118400 is an frugal number, since it uses more digits than its factorization.

371222118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The spelling of 371222118400 in words is "three hundred seventy-one billion, two hundred twenty-two million, one hundred eighteen thousand, four hundred".