40381824 has 128 divisors (see below), whose sum is σ = 124750080. Its totient is φ = 11335680.

The previous prime is 40381823. The next prime is 40381829. The reversal of 40381824 is 42818304.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 40381791 and 40381800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40381823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223014 + ... + 223194.

It is an arithmetic number, because the mean of its divisors is an integer number (974610).

Almost surely, 2^40381824 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 40381824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62375040).

40381824 is an abundant number, since it is smaller than the sum of its proper divisors (84368256).

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

40381824 is a wasteful number, since it uses less digits than its factorization.

40381824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 40381824 is about 6354.6694642601. The cubic root of 40381824 is about 343.0799282207.

The spelling of 40381824 in words is "forty million, three hundred eighty-one thousand, eight hundred twenty-four".