40456668 has 96 divisors (see below), whose sum is σ = 117186048. Its totient is φ = 10598400.

The previous prime is 40456657. The next prime is 40456687. The reversal of 40456668 is 86665404.

40456668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 58203 + ... + 58893.

It is an arithmetic number, because the mean of its divisors is an integer number (1220688).

Almost surely, 2^40456668 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 40456668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58593024).

40456668 is an abundant number, since it is smaller than the sum of its proper divisors (76729380).

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

40456668 is a wasteful number, since it uses less digits than its factorization.

40456668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 40456668 is about 6360.5556361060. Note that the first 3 decimals coincide. The cubic root of 40456668 is about 343.2917531154.

The spelling of 40456668 in words is "forty million, four hundred fifty-six thousand, six hundred sixty-eight".