40353408 has 96 divisors (see below), whose sum is σ = 121249440. Its totient is φ = 12857856.

The previous prime is 40353373. The next prime is 40353433. The reversal of 40353408 is 80435304.

It is a happy number.

40353408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 25735 + ... + 27257.

It is an arithmetic number, because the mean of its divisors is an integer number (1263015).

Almost surely, 2^40353408 is an apocalyptic number.

40353408 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 40353408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60624720).

40353408 is an abundant number, since it is smaller than the sum of its proper divisors (80896032).

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

40353408 is a wasteful number, since it uses less digits than its factorization.

40353408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 40353408 is about 6352.4332345960. The cubic root of 40353408 is about 342.9994361750. Note that the first 3 decimals are identical.

The spelling of 40353408 in words is "forty million, three hundred fifty-three thousand, four hundred eight".