40532016 has 120 divisors (see below), whose sum is σ = 128354880. Its totient is φ = 10958976.

The previous prime is 40531993. The next prime is 40532021. The reversal of 40532016 is 61023504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 40531983 and 40532001.

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 23 ways as a sum of consecutive naturals, for example, 44235 + ... + 45141.

It is an arithmetic number, because the mean of its divisors is an integer number (1069624).

Almost surely, 2^40532016 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 40532016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64177440).

40532016 is an abundant number, since it is smaller than the sum of its proper divisors (87822864).

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

40532016 is a wasteful number, since it uses less digits than its factorization.

40532016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 40532016 is about 6366.4759482778. The cubic root of 40532016 is about 343.5047407120.

The spelling of 40532016 in words is "forty million, five hundred thirty-two thousand, sixteen".