40416768 has 180 divisors, whose sum is σ = 136447740. Its totient is φ = 11483136.

The previous prime is 40416763. The next prime is 40416787. The reversal of 40416768 is 86761404.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40416763) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 225703 + ... + 225881.

It is an arithmetic number, because the mean of its divisors is an integer number (758043).

Almost surely, 2^40416768 is an apocalyptic number.

40416768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40416768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68223870).

40416768 is an abundant number, since it is smaller than the sum of its proper divisors (96030972).

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

40416768 is a wasteful number, since it uses less digits than its factorization.

40416768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 191 counting only the distinct ones).

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

The square root of 40416768 is about 6357.4183439506. The cubic root of 40416768 is about 343.1788599299.

The spelling of 40416768 in words is "forty million, four hundred sixteen thousand, seven hundred sixty-eight".