40686444 has 36 divisors (see below), whose sum is σ = 103174344. Its totient is φ = 13518912.

The previous prime is 40686433. The next prime is 40686461. The reversal of 40686444 is 44468604.

40686444 is a `hidden beast` number, since 4 + 0 + 6 + 8 + 644 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40686399 and 40686408.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10864 + ... + 14120.

It is an arithmetic number, because the mean of its divisors is an integer number (2865954).

Almost surely, 2^40686444 is an apocalyptic number.

It is an amenable number.

40686444 is an abundant number, since it is smaller than the sum of its proper divisors (62487900).

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

40686444 is a wasteful number, since it uses less digits than its factorization.

40686444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3614 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 40686444 is about 6378.5926347432. The cubic root of 40686444 is about 343.9404417352.

The spelling of 40686444 in words is "forty million, six hundred eighty-six thousand, four hundred forty-four".