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4834633488400 = 24521722922232

4834633488400 has 405 divisors, whose sum is σ = 12836348329701. Its totient is φ = 1749454909440.

The previous prime is 4834633488389. The next prime is 4834633488403. The reversal of 4834633488400 is 48843364384.

It is a happy number.

The square root of 4834633488400 is 2198780.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1575135441936 + 3259498046464 = 1255044^2 + 1805408^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4834633488403) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 21679970689 + ... + 21679970911.

Almost surely, 24834633488400 is an apocalyptic number.

4834633488400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4834633488400 is the 2198780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4834633488400

4834633488400 is an abundant number, since it is smaller than the sum of its proper divisors (8001714841301).

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

4834633488400 is a wasteful number, since it uses less digits than its factorization.

4834633488400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 55.

The spelling of 4834633488400 in words is "four trillion, eight hundred thirty-four billion, six hundred thirty-three million, four hundred eighty-eight thousand, four hundred".