40876416 has 192 divisors, whose sum is σ = 139070880. Its totient is φ = 11280384.

The previous prime is 40876403. The next prime is 40876427. The reversal of 40876416 is 61467804.

40876416 is a `hidden beast` number, since 4 + 0 + 8 + 7 + 641 + 6 = 666.

40876416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298300 + ... + 298436.

Almost surely, 2^40876416 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 40876416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69535440).

40876416 is an abundant number, since it is smaller than the sum of its proper divisors (98194464).

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

40876416 is a wasteful number, since it uses less digits than its factorization.

40876416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 40876416 is about 6393.4666652764. The cubic root of 40876416 is about 344.4749164239.

The spelling of 40876416 in words is "forty million, eight hundred seventy-six thousand, four hundred sixteen".