40289832 has 128 divisors (see below), whose sum is σ = 126259200. Its totient is φ = 11793600.

The previous prime is 40289819. The next prime is 40289833. The reversal of 40289832 is 23898204.

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

It is not an unprimeable number, because it can be changed into a prime (40289833) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 73383 + ... + 73929.

It is an arithmetic number, because the mean of its divisors is an integer number (986400).

Almost surely, 2^40289832 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 40289832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63129600).

40289832 is an abundant number, since it is smaller than the sum of its proper divisors (85969368).

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

40289832 is a wasteful number, since it uses less digits than its factorization.

40289832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 40289832 is about 6347.4271953288. The cubic root of 40289832 is about 342.8192118752.

The spelling of 40289832 in words is "forty million, two hundred eighty-nine thousand, eight hundred thirty-two".