40790016 has 72 divisors (see below), whose sum is σ = 117862290. Its totient is φ = 13590528.

The previous prime is 40790011. The next prime is 40790023. The reversal of 40790016 is 61009704.

It can be written as a sum of positive squares in only one way, i.e., 22127616 + 18662400 = 4704^2 + 4320^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (40790011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17326 + ... + 19538.

Almost surely, 2^40790016 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 40790016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58931145).

40790016 is an abundant number, since it is smaller than the sum of its proper divisors (77072274).

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

40790016 is a wasteful number, since it uses less digits than its factorization.

40790016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 40790016 is about 6386.7061933363. The cubic root of 40790016 is about 344.2320410286.

The spelling of 40790016 in words is "forty million, seven hundred ninety thousand, sixteen".