4491826313760 has 288 divisors, whose sum is σ = 16625883364272. Its totient is φ = 1099863490560.

The previous prime is 4491826313753. The next prime is 4491826313789. The reversal of 4491826313760 is 673136281944.

4491826313760 is a `hidden beast` number, since 4 + 4 + 9 + 1 + 8 + 263 + 1 + 376 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 947748978576 + 3544077335184 = 973524^2 + 1882572^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 4491826313697 and 4491826313706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1233999 + ... + 3241358.

Almost surely, 2^{4491826313760} is an apocalyptic number.

4491826313760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4491826313760 is an abundant number, since it is smaller than the sum of its proper divisors (12134057050512).

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

4491826313760 is a wasteful number, since it uses less digits than its factorization.

4491826313760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4475436 (or 4475425 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 4491826313760 in words is "four trillion, four hundred ninety-one billion, eight hundred twenty-six million, three hundred thirteen thousand, seven hundred sixty".