40166044416 has 216 divisors, whose sum is σ = 119314444704. Its totient is φ = 12985712640.

The previous prime is 40166044363. The next prime is 40166044417. The reversal of 40166044416 is 61444066104.

40166044416 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 604 + 4 + 41 + 6 = 666.

It is a super-2 number, since 2×40166044416² (a number of 22 digits) contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (40166044417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38957821 + ... + 38958851.

Almost surely, 2^40166044416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40166044416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59657222352).

40166044416 is an abundant number, since it is smaller than the sum of its proper divisors (79148400288).

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

40166044416 is a wasteful number, since it uses less digits than its factorization.

40166044416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 40166044416 in words is "forty billion, one hundred sixty-six million, forty-four thousand, four hundred sixteen".