40409088 has 48 divisors (see below), whose sum is σ = 107747640. Its totient is φ = 13467648.

The previous prime is 40409087. The next prime is 40409101. The reversal of 40409088 is 88090404.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40409087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2856 + ... + 9432.

Almost surely, 2^40409088 is an apocalyptic number.

40409088 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 40409088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53873820).

40409088 is an abundant number, since it is smaller than the sum of its proper divisors (67338552).

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

40409088 is an equidigital number, since it uses as much as digits as its factorization.

40409088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6602 (or 6582 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 40409088 is about 6356.8142964853. The cubic root of 40409088 is about 343.1571215877.

The spelling of 40409088 in words is "forty million, four hundred nine thousand, eighty-eight".