440056601411661 has 48 divisors (see below), whose sum is σ = 688101458590000. Its totient is φ = 269392253607936.

The previous prime is 440056601411629. The next prime is 440056601411743. The reversal of 440056601411661 is 166114106650044.

440056601411661 is a `hidden beast` number, since 4 + 4 + 0 + 0 + 566 + 0 + 14 + 1 + 16 + 61 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 169533680660100 + 270522920751561 = 13020510^2 + 16447581^2 .

It is not a de Polignac number, because 440056601411661 - 2⁵ = 440056601411629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440056601411261) by changing a digit.

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, 739207635 + ... + 739802703.

Almost surely, 2^{440056601411661} is an apocalyptic number.

It is an amenable number.

440056601411661 is a deficient number, since it is larger than the sum of its proper divisors (248044857178339).

440056601411661 is a wasteful number, since it uses less digits than its factorization.

440056601411661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628030 (or 628027 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 440056601411661 in words is "four hundred forty trillion, fifty-six billion, six hundred one million, four hundred eleven thousand, six hundred sixty-one".