40314034332 has 288 divisors, whose sum is σ = 121851475200. Its totient is φ = 11078000640.

The previous prime is 40314034309. The next prime is 40314034337. The reversal of 40314034332 is 23343041304.

40314034332 is a `hidden beast` number, since 4 + 0 + 314 + 0 + 343 + 3 + 2 = 666.

40314034332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40314034296 and 40314034305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40314034337) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89786044 + ... + 89786492.

It is an arithmetic number, because the mean of its divisors is an integer number (423095400).

Almost surely, 2^40314034332 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 40314034332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60925737600).

40314034332 is an abundant number, since it is smaller than the sum of its proper divisors (81537440868).

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

40314034332 is a wasteful number, since it uses less digits than its factorization.

40314034332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 40314034332 its reverse (23343041304), we get a palindrome (63657075636).

The spelling of 40314034332 in words is "forty billion, three hundred fourteen million, thirty-four thousand, three hundred thirty-two".