36400414666 has 64 divisors (see below), whose sum is σ = 68437115136. Its totient is φ = 14106470400.

The previous prime is 36400414663. The next prime is 36400414669. The reversal of 36400414666 is 66641400463.

It is an interprime number because it is at equal distance from previous prime (36400414663) and next prime (36400414669).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (36400414663) 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 31 ways as a sum of consecutive naturals, for example, 35932776 + ... + 35933788.

It is an arithmetic number, because the mean of its divisors is an integer number (1069329924).

Almost surely, 2^36400414666 is an apocalyptic number.

36400414666 is a deficient number, since it is larger than the sum of its proper divisors (32036700470).

36400414666 is a wasteful number, since it uses less digits than its factorization.

36400414666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047.

The product of its (nonzero) digits is 248832, while the sum is 40.

The spelling of 36400414666 in words is "thirty-six billion, four hundred million, four hundred fourteen thousand, six hundred sixty-six".