40168016 has 80 divisors (see below), whose sum is σ = 93744000. Its totient is φ = 16310784.

The previous prime is 40167983. The next prime is 40168039. The reversal of 40168016 is 61086104.

It is a super-2 number, since 2×40168016² = 3226939018752512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269510 + ... + 269658.

It is an arithmetic number, because the mean of its divisors is an integer number (1171800).

Almost surely, 2^40168016 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 40168016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46872000).

40168016 is an abundant number, since it is smaller than the sum of its proper divisors (53575984).

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

40168016 is a wasteful number, since it uses less digits than its factorization.

40168016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 40168016 is about 6337.8242323372. The cubic root of 40168016 is about 342.4733593216.

The spelling of 40168016 in words is "forty million, one hundred sixty-eight thousand, sixteen".