40218288 has 120 divisors (see below), whose sum is σ = 120188736. Its totient is φ = 11491200.

The previous prime is 40218281. The next prime is 40218289. The reversal of 40218288 is 88281204.

40218288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40218281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190503 + ... + 190713.

Almost surely, 2^40218288 is an apocalyptic number.

40218288 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 40218288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60094368).

40218288 is an abundant number, since it is smaller than the sum of its proper divisors (79970448).

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

40218288 is a wasteful number, since it uses less digits than its factorization.

40218288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 40218288 is about 6341.7890220347. The cubic root of 40218288 is about 342.6161731396.

The spelling of 40218288 in words is "forty million, two hundred eighteen thousand, two hundred eighty-eight".