40312224 has 144 divisors (see below), whose sum is σ = 123832800. Its totient is φ = 12400128.

The previous prime is 40312211. The next prime is 40312241. The reversal of 40312224 is 42221304.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40312197 and 40312206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289947 + ... + 290085.

It is an arithmetic number, because the mean of its divisors is an integer number (859950).

Almost surely, 2^40312224 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 40312224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61916400).

40312224 is an abundant number, since it is smaller than the sum of its proper divisors (83520576).

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

40312224 is a wasteful number, since it uses less digits than its factorization.

40312224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40312224 is about 6349.1908145842. The cubic root of 40312224 is about 342.8827099982.

Adding to 40312224 its reverse (42221304), we get a palindrome (82533528).

The spelling of 40312224 in words is "forty million, three hundred twelve thousand, two hundred twenty-four".