40077216 has 72 divisors (see below), whose sum is σ = 117080964. Its totient is φ = 12994560.

The previous prime is 40077209. The next prime is 40077221. The reversal of 40077216 is 61277004.

It can be written as a sum of positive squares in 2 ways, for example, as 38489616 + 1587600 = 6204^2 + 1260^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 40077216.

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 11 ways as a sum of consecutive naturals, for example, 8776 + ... + 12536.

Almost surely, 2^40077216 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 40077216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58540482).

40077216 is an abundant number, since it is smaller than the sum of its proper divisors (77003748).

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

40077216 is a wasteful number, since it uses less digits than its factorization.

40077216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 40077216 is about 6330.6568379592. The cubic root of 40077216 is about 342.2151103886.

The spelling of 40077216 in words is "forty million, seventy-seven thousand, two hundred sixteen".