40224033432 has 128 divisors (see below), whose sum is σ = 121972032000. Its totient is φ = 12181000320.

The previous prime is 40224033427. The next prime is 40224033439. The reversal of 40224033432 is 23433042204.

40224033432 is a `hidden beast` number, since 4 + 0 + 224 + 0 + 3 + 3 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40224033396 and 40224033405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40224033439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4245933 + ... + 4255395.

It is an arithmetic number, because the mean of its divisors is an integer number (952906500).

Almost surely, 2^40224033432 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 40224033432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60986016000).

40224033432 is an abundant number, since it is smaller than the sum of its proper divisors (81747998568).

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

40224033432 is a wasteful number, since it uses less digits than its factorization.

40224033432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11278 (or 11268 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 40224033432 its reverse (23433042204), we get a palindrome (63657075636).

The spelling of 40224033432 in words is "forty billion, two hundred twenty-four million, thirty-three thousand, four hundred thirty-two".