8260335846400 has 891 divisors, whose sum is σ = 23863387939909. Its totient is φ = 2832693248000.

The previous prime is 8260335846397. The next prime is 8260335846419. The reversal of 8260335846400 is 46485330628.

The square root of 8260335846400 is 2874080.

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

It can be written as a sum of positive squares in only one way, i.e., 2973720904704 + 5286614941696 = 1724448^2 + 2299264^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 116342758365 + ... + 116342758435.

Almost surely, 2^{8260335846400} is an apocalyptic number.

8260335846400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8260335846400 is the 2874080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8260335846400

8260335846400 is an abundant number, since it is smaller than the sum of its proper divisors (15603052093509).

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

8260335846400 is a wasteful number, since it uses less digits than its factorization.

8260335846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 49.

Multiplying 8260335846400 by its sum of digits (49), we get a square (404756456473600 = 20118560²).

The spelling of 8260335846400 in words is "eight trillion, two hundred sixty billion, three hundred thirty-five million, eight hundred forty-six thousand, four hundred".