40788384 has 288 divisors, whose sum is σ = 144789120. Its totient is φ = 9934848.

The previous prime is 40788379. The next prime is 40788409. The reversal of 40788384 is 48388704.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1406482 + ... + 1406510.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 2^40788384 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 40788384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72394560).

40788384 is an abundant number, since it is smaller than the sum of its proper divisors (104000736).

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

40788384 is a wasteful number, since it uses less digits than its factorization.

40788384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 40788384 is about 6386.5784266695. The cubic root of 40788384 is about 344.2274500834.

The spelling of 40788384 in words is "forty million, seven hundred eighty-eight thousand, three hundred eighty-four".