40632288 has 48 divisors (see below), whose sum is σ = 107404416. Its totient is φ = 13449600.

The previous prime is 40632281. The next prime is 40632313. The reversal of 40632288 is 88223604.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×40632288² = 3301965656229888, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40632281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13095 + ... + 15897.

It is an arithmetic number, because the mean of its divisors is an integer number (2237592).

Almost surely, 2^40632288 is an apocalyptic number.

40632288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40632288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53702208).

40632288 is an abundant number, since it is smaller than the sum of its proper divisors (66772128).

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

40632288 is a wasteful number, since it uses less digits than its factorization.

40632288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2959 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 40632288 is about 6374.3460841093. The cubic root of 40632288 is about 343.7877724664.

The spelling of 40632288 in words is "forty million, six hundred thirty-two thousand, two hundred eighty-eight".