40322016 has 192 divisors, whose sum is σ = 137894400. Its totient is φ = 11225088.

The previous prime is 40321997. The next prime is 40322017. The reversal of 40322016 is 61022304.

40322016 = T₂₁₉ + T₂₂₀ + ... + T₆₃₁.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 40322016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40322017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356776 + ... + 356888.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 2^40322016 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 40322016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68947200).

40322016 is an abundant number, since it is smaller than the sum of its proper divisors (97572384).

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

40322016 is a wasteful number, since it uses less digits than its factorization.

40322016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40322016 is about 6349.9618896494. The cubic root of 40322016 is about 342.9104702765.

Adding to 40322016 its product of nonzero digits (288), we get a palindrome (40322304).

The spelling of 40322016 in words is "forty million, three hundred twenty-two thousand, sixteen".