40004384 has 72 divisors (see below), whose sum is σ = 94687488. Its totient is φ = 16571520.

The previous prime is 40004357. The next prime is 40004389. The reversal of 40004384 is 48340004.

It is not an unprimeable number, because it can be changed into a prime (40004389) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48197 + ... + 49019.

It is an arithmetic number, because the mean of its divisors is an integer number (1315104).

Almost surely, 2^40004384 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 40004384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47343744).

40004384 is an abundant number, since it is smaller than the sum of its proper divisors (54683104).

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

40004384 is a wasteful number, since it uses less digits than its factorization.

40004384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 40004384 is about 6324.9018964724. The cubic root of 40004384 is about 342.0076831032.

Adding to 40004384 its reverse (48340004), we get a palindrome (88344388).

The spelling of 40004384 in words is "forty million, four thousand, three hundred eighty-four".