40212320 has 48 divisors (see below), whose sum is σ = 96018048. Its totient is φ = 15912960.

The previous prime is 40212313. The next prime is 40212323. The reversal of 40212320 is 2321204.

It is a junction number, because it is equal to n+sod(n) for n = 40212295 and 40212304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40212323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14225 + ... + 16815.

It is an arithmetic number, because the mean of its divisors is an integer number (2000376).

Almost surely, 2^40212320 is an apocalyptic number.

40212320 is a gapful number since it is divisible by the number (40) 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 40212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48009024).

40212320 is an abundant number, since it is smaller than the sum of its proper divisors (55805728).

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

40212320 is a wasteful number, since it uses less digits than its factorization.

40212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 40212320 is about 6341.3184748915. The cubic root of 40212320 is about 342.5992253399.

Adding to 40212320 its reverse (2321204), we get a palindrome (42533524).

The spelling of 40212320 in words is "forty million, two hundred twelve thousand, three hundred twenty".