40320016 has 40 divisors (see below), whose sum is σ = 85735584. Its totient is φ = 18216960.

The previous prime is 40320011. The next prime is 40320019. The reversal of 40320016 is 61002304.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (40320011) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 33375 + ... + 34561.

Almost surely, 2^40320016 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 40320016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42867792).

40320016 is an abundant number, since it is smaller than the sum of its proper divisors (45415568).

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

40320016 is a wasteful number, since it uses less digits than its factorization.

40320016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 40320016 is about 6349.8044064365. The cubic root of 40320016 is about 342.9048006503.

The spelling of 40320016 in words is "forty million, three hundred twenty thousand, sixteen".