40083456 has 112 divisors (see below), whose sum is σ = 122675904. Its totient is φ = 11403264.

The previous prime is 40083437. The next prime is 40083541. The reversal of 40083456 is 65438004.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 171916 + ... + 172148.

Almost surely, 2^40083456 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 40083456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61337952).

40083456 is an abundant number, since it is smaller than the sum of its proper divisors (82592448).

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

40083456 is an equidigital number, since it uses as much as digits as its factorization.

40083456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 40083456 is about 6331.1496586323. The cubic root of 40083456 is about 342.2328703670.

The spelling of 40083456 in words is "forty million, eighty-three thousand, four hundred fifty-six".