40213424 has 40 divisors (see below), whose sum is σ = 82584000. Its totient is φ = 18916416.

The previous prime is 40213421. The next prime is 40213427. The reversal of 40213424 is 42431204.

40213424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40213421) and next prime (40213427).

It is a junction number, because it is equal to n+sod(n) for n = 40213396 and 40213405.

It is not an unprimeable number, because it can be changed into a prime (40213421) 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 7 ways as a sum of consecutive naturals, for example, 54047 + ... + 54785.

It is an arithmetic number, because the mean of its divisors is an integer number (2064600).

Almost surely, 2^40213424 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 40213424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41292000).

40213424 is an abundant number, since it is smaller than the sum of its proper divisors (42370576).

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

40213424 is a wasteful number, since it uses less digits than its factorization.

40213424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 40213424 is about 6341.4055224374. The cubic root of 40213424 is about 342.6023605821.

Adding to 40213424 its reverse (42431204), we get a palindrome (82644628).

The spelling of 40213424 in words is "forty million, two hundred thirteen thousand, four hundred twenty-four".