4564841266440 has 192 divisors, whose sum is σ = 18259365196800. Its totient is φ = 963131337216.

The previous prime is 4564841266409. The next prime is 4564841266487. The reversal of 4564841266440 is 446621484654.

4564841266440 is a `hidden beast` number, since 4 + 5 + 64 + 84 + 1 + 2 + 66 + 440 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69638200 + ... + 69703719.

It is an arithmetic number, because the mean of its divisors is an integer number (95100860400).

Almost surely, 2^{4564841266440} is an apocalyptic number.

4564841266440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4564841266440 is an abundant number, since it is smaller than the sum of its proper divisors (13694523930360).

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

4564841266440 is a wasteful number, since it uses less digits than its factorization.

4564841266440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139341956 (or 139341949 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 4564841266440 in words is "four trillion, five hundred sixty-four billion, eight hundred forty-one million, two hundred sixty-six thousand, four hundred forty".