40384656 has 240 divisors, whose sum is σ = 136491264. Its totient is φ = 11446272.

The previous prime is 40384651. The next prime is 40384657. The reversal of 40384656 is 65648304.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40384656.

It is not an unprimeable number, because it can be changed into a prime (40384651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 859225 + ... + 859271.

Almost surely, 2^40384656 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 40384656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68245632).

40384656 is an abundant number, since it is smaller than the sum of its proper divisors (96106608).

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

40384656 is a wasteful number, since it uses less digits than its factorization.

40384656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 40384656 is about 6354.8922886230. The cubic root of 40384656 is about 343.0879481626.

The spelling of 40384656 in words is "forty million, three hundred eighty-four thousand, six hundred fifty-six".